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Finding the Fourth Proportional to 546.77, 754.57 and 298.10

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Solution

The fourth proportional to 546.77, 754.57 and 298.10 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.77 : 754.57 = 298.10 : x
  2. Step 2: Convert to fraction form
    546.77/754.57 = 298.10/x
  3. Step 3: Cross multiply
    546.77x = 754.57 × 298.10
  4. Step 4: Simplify right side
    546.77x = 224,938.46
  5. Step 5: Solve for x
    x = 224,938.46/546.77
  6. Step 6: Final answer
    x = 411.39

Related Problems

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Double scale
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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.