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Finding the Fourth Proportional to 523.32, 784.64 and 249.54

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Solution

The fourth proportional to 523.32, 784.64 and 249.54 is: 374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 784.64 = 249.54 : x
  2. Step 2: Convert to fraction form
    523.32/784.64 = 249.54/x
  3. Step 3: Cross multiply
    523.32x = 784.64 × 249.54
  4. Step 4: Simplify right side
    523.32x = 195,799.07
  5. Step 5: Solve for x
    x = 195,799.07/523.32
  6. Step 6: Final answer
    x = 374.15

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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.