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Finding the Fourth Proportional to 657.28, 906.69 and 424

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Solution

The fourth proportional to 657.28, 906.69 and 424 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.28 : 906.69 = 424 : x
  2. Step 2: Convert to fraction form
    657.28/906.69 = 424/x
  3. Step 3: Cross multiply
    657.28x = 906.69 × 424
  4. Step 4: Simplify right side
    657.28x = 384,436.56
  5. Step 5: Solve for x
    x = 384,436.56/657.28
  6. Step 6: Final answer
    x = 584.89

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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.