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Finding the Fourth Proportional to 657.49, 907.39 and 425.29

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Solution

The fourth proportional to 657.49, 907.39 and 425.29 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.49 : 907.39 = 425.29 : x
  2. Step 2: Convert to fraction form
    657.49/907.39 = 425.29/x
  3. Step 3: Cross multiply
    657.49x = 907.39 × 425.29
  4. Step 4: Simplify right side
    657.49x = 385,901.77
  5. Step 5: Solve for x
    x = 385,901.77/657.49
  6. Step 6: Final answer
    x = 586.93

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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.