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Finding the Fourth Proportional to 657.43, 907.24 and 358.66

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Solution

The fourth proportional to 657.43, 907.24 and 358.66 is: 494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.43 : 907.24 = 358.66 : x
  2. Step 2: Convert to fraction form
    657.43/907.24 = 358.66/x
  3. Step 3: Cross multiply
    657.43x = 907.24 × 358.66
  4. Step 4: Simplify right side
    657.43x = 325,390.70
  5. Step 5: Solve for x
    x = 325,390.70/657.43
  6. Step 6: Final answer
    x = 494.94

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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.