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Finding the Fourth Proportional to 509.54, 764.25 and 232.16

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Solution

The fourth proportional to 509.54, 764.25 and 232.16 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 764.25 = 232.16 : x
  2. Step 2: Convert to fraction form
    509.54/764.25 = 232.16/x
  3. Step 3: Cross multiply
    509.54x = 764.25 × 232.16
  4. Step 4: Simplify right side
    509.54x = 177,424.46
  5. Step 5: Solve for x
    x = 177,424.46/509.54
  6. Step 6: Final answer
    x = 348.21

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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.