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Finding the Fourth Proportional to 507.12, 760.36 and 232.96

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Solution

The fourth proportional to 507.12, 760.36 and 232.96 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 760.36 = 232.96 : x
  2. Step 2: Convert to fraction form
    507.12/760.36 = 232.96/x
  3. Step 3: Cross multiply
    507.12x = 760.36 × 232.96
  4. Step 4: Simplify right side
    507.12x = 177,133.47
  5. Step 5: Solve for x
    x = 177,133.47/507.12
  6. Step 6: Final answer
    x = 349.29

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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.