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Finding the Fourth Proportional to 477.42, 659.25 and 353.30

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Solution

The fourth proportional to 477.42, 659.25 and 353.30 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 659.25 = 353.30 : x
  2. Step 2: Convert to fraction form
    477.42/659.25 = 353.30/x
  3. Step 3: Cross multiply
    477.42x = 659.25 × 353.30
  4. Step 4: Simplify right side
    477.42x = 232,909.73
  5. Step 5: Solve for x
    x = 232,909.73/477.42
  6. Step 6: Final answer
    x = 487.85

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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.