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Finding the Fourth Proportional to 507.20, 760.46 and 232.92

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Solution

The fourth proportional to 507.20, 760.46 and 232.92 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 760.46 = 232.92 : x
  2. Step 2: Convert to fraction form
    507.20/760.46 = 232.92/x
  3. Step 3: Cross multiply
    507.20x = 760.46 × 232.92
  4. Step 4: Simplify right side
    507.20x = 177,126.34
  5. Step 5: Solve for x
    x = 177,126.34/507.20
  6. Step 6: Final answer
    x = 349.22

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