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Finding the Fourth Proportional to 657.73, 907.39 and 461.37

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Solution

The fourth proportional to 657.73, 907.39 and 461.37 is: 636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.73 : 907.39 = 461.37 : x
  2. Step 2: Convert to fraction form
    657.73/907.39 = 461.37/x
  3. Step 3: Cross multiply
    657.73x = 907.39 × 461.37
  4. Step 4: Simplify right side
    657.73x = 418,641.37
  5. Step 5: Solve for x
    x = 418,641.37/657.73
  6. Step 6: Final answer
    x = 636.50

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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.