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Finding the Fourth Proportional to 523.08, 784.85 and 249.17

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Solution

The fourth proportional to 523.08, 784.85 and 249.17 is: 373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 784.85 = 249.17 : x
  2. Step 2: Convert to fraction form
    523.08/784.85 = 249.17/x
  3. Step 3: Cross multiply
    523.08x = 784.85 × 249.17
  4. Step 4: Simplify right side
    523.08x = 195,561.79
  5. Step 5: Solve for x
    x = 195,561.79/523.08
  6. Step 6: Final answer
    x = 373.87

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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.