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Finding the Fourth Proportional to 488.30, 732.41 and 180.10

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Solution

The fourth proportional to 488.30, 732.41 and 180.10 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.30 : 732.41 = 180.10 : x
  2. Step 2: Convert to fraction form
    488.30/732.41 = 180.10/x
  3. Step 3: Cross multiply
    488.30x = 732.41 × 180.10
  4. Step 4: Simplify right side
    488.30x = 131,904.62
  5. Step 5: Solve for x
    x = 131,904.62/488.30
  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.