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Finding the Fourth Proportional to 546.76, 753.76 and 467.74

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Solution

The fourth proportional to 546.76, 753.76 and 467.74 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 753.76 = 467.74 : x
  2. Step 2: Convert to fraction form
    546.76/753.76 = 467.74/x
  3. Step 3: Cross multiply
    546.76x = 753.76 × 467.74
  4. Step 4: Simplify right side
    546.76x = 352,563.70
  5. Step 5: Solve for x
    x = 352,563.70/546.76
  6. Step 6: Final answer
    x = 644.82

Related Problems

Find fourth proportional to 273.38, 376.88 and 233.87
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.