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Finding the Fourth Proportional to 477.18, 658.29 and 311.35

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Solution

The fourth proportional to 477.18, 658.29 and 311.35 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 658.29 = 311.35 : x
  2. Step 2: Convert to fraction form
    477.18/658.29 = 311.35/x
  3. Step 3: Cross multiply
    477.18x = 658.29 × 311.35
  4. Step 4: Simplify right side
    477.18x = 204,958.59
  5. Step 5: Solve for x
    x = 204,958.59/477.18
  6. Step 6: Final answer
    x = 429.52

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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.