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Finding the Fourth Proportional to 542.76, 749.02 and 309.90

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Solution

The fourth proportional to 542.76, 749.02 and 309.90 is: 427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 749.02 = 309.90 : x
  2. Step 2: Convert to fraction form
    542.76/749.02 = 309.90/x
  3. Step 3: Cross multiply
    542.76x = 749.02 × 309.90
  4. Step 4: Simplify right side
    542.76x = 232,121.30
  5. Step 5: Solve for x
    x = 232,121.30/542.76
  6. Step 6: Final answer
    x = 427.67

Related Problems

Find fourth proportional to 271.38, 374.51 and 154.95
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.