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Finding the Fourth Proportional to 311.61, 429.35 and 207.93

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Solution

The fourth proportional to 311.61, 429.35 and 207.93 is: 286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.61 : 429.35 = 207.93 : x
  2. Step 2: Convert to fraction form
    311.61/429.35 = 207.93/x
  3. Step 3: Cross multiply
    311.61x = 429.35 × 207.93
  4. Step 4: Simplify right side
    311.61x = 89,273.71
  5. Step 5: Solve for x
    x = 89,273.71/311.61
  6. Step 6: Final answer
    x = 286.49

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Why These Related Problems?

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