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Finding the Fourth Proportional to 659.52, 909.36 and 472.80

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Solution

The fourth proportional to 659.52, 909.36 and 472.80 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 909.36 = 472.80 : x
  2. Step 2: Convert to fraction form
    659.52/909.36 = 472.80/x
  3. Step 3: Cross multiply
    659.52x = 909.36 × 472.80
  4. Step 4: Simplify right side
    659.52x = 429,945.41
  5. Step 5: Solve for x
    x = 429,945.41/659.52
  6. Step 6: Final answer
    x = 651.91

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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.