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Finding the Fourth Proportional to 398.52, 550.08 and 311.40

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Solution

The fourth proportional to 398.52, 550.08 and 311.40 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 550.08 = 311.40 : x
  2. Step 2: Convert to fraction form
    398.52/550.08 = 311.40/x
  3. Step 3: Cross multiply
    398.52x = 550.08 × 311.40
  4. Step 4: Simplify right side
    398.52x = 171,294.91
  5. Step 5: Solve for x
    x = 171,294.91/398.52
  6. Step 6: Final answer
    x = 429.83

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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.