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Finding the Fourth Proportional to 311.39, 463.83 and 297.35

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Solution

The fourth proportional to 311.39, 463.83 and 297.35 is: 442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.39 : 463.83 = 297.35 : x
  2. Step 2: Convert to fraction form
    311.39/463.83 = 297.35/x
  3. Step 3: Cross multiply
    311.39x = 463.83 × 297.35
  4. Step 4: Simplify right side
    311.39x = 137,917.53
  5. Step 5: Solve for x
    x = 137,917.53/311.39
  6. Step 6: Final answer
    x = 442.92

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Why These Related Problems?

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