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Finding the Fourth Proportional to 606.24, 908.07 and 458.36

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Solution

The fourth proportional to 606.24, 908.07 and 458.36 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.24 : 908.07 = 458.36 : x
  2. Step 2: Convert to fraction form
    606.24/908.07 = 458.36/x
  3. Step 3: Cross multiply
    606.24x = 908.07 × 458.36
  4. Step 4: Simplify right side
    606.24x = 416,222.97
  5. Step 5: Solve for x
    x = 416,222.97/606.24
  6. Step 6: Final answer
    x = 686.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.