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Finding the Fourth Proportional to 487.56, 729.48 and 426.24

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Solution

The fourth proportional to 487.56, 729.48 and 426.24 is: 637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.56 : 729.48 = 426.24 : x
  2. Step 2: Convert to fraction form
    487.56/729.48 = 426.24/x
  3. Step 3: Cross multiply
    487.56x = 729.48 × 426.24
  4. Step 4: Simplify right side
    487.56x = 310,933.56
  5. Step 5: Solve for x
    x = 310,933.56/487.56
  6. Step 6: Final answer
    x = 637.73

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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.