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Finding the Fourth Proportional to 332.99, 500.14 and 252.29

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Solution

The fourth proportional to 332.99, 500.14 and 252.29 is: 378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.99 : 500.14 = 252.29 : x
  2. Step 2: Convert to fraction form
    332.99/500.14 = 252.29/x
  3. Step 3: Cross multiply
    332.99x = 500.14 × 252.29
  4. Step 4: Simplify right side
    332.99x = 126,180.32
  5. Step 5: Solve for x
    x = 126,180.32/332.99
  6. Step 6: Final answer
    x = 378.93

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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.