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Finding the Fourth Proportional to 657.46, 906.76 and 408.31

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Solution

The fourth proportional to 657.46, 906.76 and 408.31 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.46 : 906.76 = 408.31 : x
  2. Step 2: Convert to fraction form
    657.46/906.76 = 408.31/x
  3. Step 3: Cross multiply
    657.46x = 906.76 × 408.31
  4. Step 4: Simplify right side
    657.46x = 370,239.18
  5. Step 5: Solve for x
    x = 370,239.18/657.46
  6. Step 6: Final answer
    x = 563.14

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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.