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Finding the Fourth Proportional to 311.40, 463.82 and 297.36

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Solution

The fourth proportional to 311.40, 463.82 and 297.36 is: 442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.40 : 463.82 = 297.36 : x
  2. Step 2: Convert to fraction form
    311.40/463.82 = 297.36/x
  3. Step 3: Cross multiply
    311.40x = 463.82 × 297.36
  4. Step 4: Simplify right side
    311.40x = 137,921.52
  5. Step 5: Solve for x
    x = 137,921.52/311.40
  6. Step 6: Final answer
    x = 442.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.