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Finding the Fourth Proportional to 657.01, 905.18 and 546.14

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Solution

The fourth proportional to 657.01, 905.18 and 546.14 is: 752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.01 : 905.18 = 546.14 : x
  2. Step 2: Convert to fraction form
    657.01/905.18 = 546.14/x
  3. Step 3: Cross multiply
    657.01x = 905.18 × 546.14
  4. Step 4: Simplify right side
    657.01x = 494,354.54
  5. Step 5: Solve for x
    x = 494,354.54/657.01
  6. Step 6: Final answer
    x = 752.43

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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.