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Finding the Fourth Proportional to 478.12, 658.50 and 404.20

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Solution

The fourth proportional to 478.12, 658.50 and 404.20 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.12 : 658.50 = 404.20 : x
  2. Step 2: Convert to fraction form
    478.12/658.50 = 404.20/x
  3. Step 3: Cross multiply
    478.12x = 658.50 × 404.20
  4. Step 4: Simplify right side
    478.12x = 266,165.70
  5. Step 5: Solve for x
    x = 266,165.70/478.12
  6. Step 6: Final answer
    x = 556.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.