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Finding the Fourth Proportional to 506.46, 760.08 and 232.56

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Solution

The fourth proportional to 506.46, 760.08 and 232.56 is: 349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 760.08 = 232.56 : x
  2. Step 2: Convert to fraction form
    506.46/760.08 = 232.56/x
  3. Step 3: Cross multiply
    506.46x = 760.08 × 232.56
  4. Step 4: Simplify right side
    506.46x = 176,764.20
  5. Step 5: Solve for x
    x = 176,764.20/506.46
  6. Step 6: Final answer
    x = 349.02

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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.