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Finding the Fourth Proportional to 657.92, 907.44 and 458.75

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Solution

The fourth proportional to 657.92, 907.44 and 458.75 is: 632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 907.44 = 458.75 : x
  2. Step 2: Convert to fraction form
    657.92/907.44 = 458.75/x
  3. Step 3: Cross multiply
    657.92x = 907.44 × 458.75
  4. Step 4: Simplify right side
    657.92x = 416,283.56
  5. Step 5: Solve for x
    x = 416,283.56/657.92
  6. Step 6: Final answer
    x = 632.73

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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.