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Finding the Fourth Proportional to 509.13, 762.84 and 372.24

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Solution

The fourth proportional to 509.13, 762.84 and 372.24 is: 557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.13 : 762.84 = 372.24 : x
  2. Step 2: Convert to fraction form
    509.13/762.84 = 372.24/x
  3. Step 3: Cross multiply
    509.13x = 762.84 × 372.24
  4. Step 4: Simplify right side
    509.13x = 283,959.56
  5. Step 5: Solve for x
    x = 283,959.56/509.13
  6. Step 6: Final answer
    x = 557.73

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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.