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Finding the Fourth Proportional to 478.08, 658.17 and 428.88

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Solution

The fourth proportional to 478.08, 658.17 and 428.88 is: 590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 658.17 = 428.88 : x
  2. Step 2: Convert to fraction form
    478.08/658.17 = 428.88/x
  3. Step 3: Cross multiply
    478.08x = 658.17 × 428.88
  4. Step 4: Simplify right side
    478.08x = 282,275.95
  5. Step 5: Solve for x
    x = 282,275.95/478.08
  6. Step 6: Final answer
    x = 590.44

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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.