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Finding the Fourth Proportional to 659.52, 909.72 and 397.47

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Solution

The fourth proportional to 659.52, 909.72 and 397.47 is: 548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 909.72 = 397.47 : x
  2. Step 2: Convert to fraction form
    659.52/909.72 = 397.47/x
  3. Step 3: Cross multiply
    659.52x = 909.72 × 397.47
  4. Step 4: Simplify right side
    659.52x = 361,586.41
  5. Step 5: Solve for x
    x = 361,586.41/659.52
  6. Step 6: Final answer
    x = 548.26

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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.