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Finding the Fourth Proportional to 488.32, 732.47 and 180.09

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Solution

The fourth proportional to 488.32, 732.47 and 180.09 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.32 : 732.47 = 180.09 : x
  2. Step 2: Convert to fraction form
    488.32/732.47 = 180.09/x
  3. Step 3: Cross multiply
    488.32x = 732.47 × 180.09
  4. Step 4: Simplify right side
    488.32x = 131,909.62
  5. Step 5: Solve for x
    x = 131,909.62/488.32
  6. Step 6: Final answer
    x = 270.13

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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.