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Finding the Fourth Proportional to 659.24, 909.32 and 397

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Solution

The fourth proportional to 659.24, 909.32 and 397 is: 547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.24 : 909.32 = 397 : x
  2. Step 2: Convert to fraction form
    659.24/909.32 = 397/x
  3. Step 3: Cross multiply
    659.24x = 909.32 × 397
  4. Step 4: Simplify right side
    659.24x = 361,000.04
  5. Step 5: Solve for x
    x = 361,000.04/659.24
  6. Step 6: Final answer
    x = 547.60

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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.