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Finding the Fourth Proportional to 657.44, 907.49 and 408.97

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Solution

The fourth proportional to 657.44, 907.49 and 408.97 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 907.49 = 408.97 : x
  2. Step 2: Convert to fraction form
    657.44/907.49 = 408.97/x
  3. Step 3: Cross multiply
    657.44x = 907.49 × 408.97
  4. Step 4: Simplify right side
    657.44x = 371,136.19
  5. Step 5: Solve for x
    x = 371,136.19/657.44
  6. Step 6: Final answer
    x = 564.52

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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.