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Finding the Fourth Proportional to 657.68, 907.28 and 461.12

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Solution

The fourth proportional to 657.68, 907.28 and 461.12 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 907.28 = 461.12 : x
  2. Step 2: Convert to fraction form
    657.68/907.28 = 461.12/x
  3. Step 3: Cross multiply
    657.68x = 907.28 × 461.12
  4. Step 4: Simplify right side
    657.68x = 418,364.95
  5. Step 5: Solve for x
    x = 418,364.95/657.68
  6. Step 6: Final answer
    x = 636.12

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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.