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Finding the Fourth Proportional to 488.27, 732.40 and 180.13

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Solution

The fourth proportional to 488.27, 732.40 and 180.13 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.27 : 732.40 = 180.13 : x
  2. Step 2: Convert to fraction form
    488.27/732.40 = 180.13/x
  3. Step 3: Cross multiply
    488.27x = 732.40 × 180.13
  4. Step 4: Simplify right side
    488.27x = 131,929.49
  5. Step 5: Solve for x
    x = 131,929.49/488.27
  6. Step 6: Final answer
    x = 270.20

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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.