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Finding the Fourth Proportional to 487.50, 729.80 and 332.20

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Solution

The fourth proportional to 487.50, 729.80 and 332.20 is: 497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.50 : 729.80 = 332.20 : x
  2. Step 2: Convert to fraction form
    487.50/729.80 = 332.20/x
  3. Step 3: Cross multiply
    487.50x = 729.80 × 332.20
  4. Step 4: Simplify right side
    487.50x = 242,439.56
  5. Step 5: Solve for x
    x = 242,439.56/487.50
  6. Step 6: Final answer
    x = 497.31

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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.