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Finding the Fourth Proportional to 305.27, 458.10 and 207.83

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Solution

The fourth proportional to 305.27, 458.10 and 207.83 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 458.10 = 207.83 : x
  2. Step 2: Convert to fraction form
    305.27/458.10 = 207.83/x
  3. Step 3: Cross multiply
    305.27x = 458.10 × 207.83
  4. Step 4: Simplify right side
    305.27x = 95,206.92
  5. Step 5: Solve for x
    x = 95,206.92/305.27
  6. Step 6: Final answer
    x = 311.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.