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Finding the Fourth Proportional to 659.28, 909.48 and 472.80

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Solution

The fourth proportional to 659.28, 909.48 and 472.80 is: 652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 909.48 = 472.80 : x
  2. Step 2: Convert to fraction form
    659.28/909.48 = 472.80/x
  3. Step 3: Cross multiply
    659.28x = 909.48 × 472.80
  4. Step 4: Simplify right side
    659.28x = 430,002.14
  5. Step 5: Solve for x
    x = 430,002.14/659.28
  6. Step 6: Final answer
    x = 652.23

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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.