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Finding the Fourth Proportional to 488.00, 732.29 and 180.07

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Solution

The fourth proportional to 488.00, 732.29 and 180.07 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.00 : 732.29 = 180.07 : x
  2. Step 2: Convert to fraction form
    488.00/732.29 = 180.07/x
  3. Step 3: Cross multiply
    488.00x = 732.29 × 180.07
  4. Step 4: Simplify right side
    488.00x = 131,863.91
  5. Step 5: Solve for x
    x = 131,863.91/488.00
  6. Step 6: Final answer
    x = 270.21

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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.