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Finding the Fourth Proportional to 500.46, 750.82 and 175.83

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Solution

The fourth proportional to 500.46, 750.82 and 175.83 is: 263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 750.82 = 175.83 : x
  2. Step 2: Convert to fraction form
    500.46/750.82 = 175.83/x
  3. Step 3: Cross multiply
    500.46x = 750.82 × 175.83
  4. Step 4: Simplify right side
    500.46x = 132,016.68
  5. Step 5: Solve for x
    x = 132,016.68/500.46
  6. Step 6: Final answer
    x = 263.79

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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.