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Finding the Fourth Proportional to 488.20, 732.18 and 241.16

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Solution

The fourth proportional to 488.20, 732.18 and 241.16 is: 361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.20 : 732.18 = 241.16 : x
  2. Step 2: Convert to fraction form
    488.20/732.18 = 241.16/x
  3. Step 3: Cross multiply
    488.20x = 732.18 × 241.16
  4. Step 4: Simplify right side
    488.20x = 176,568.87
  5. Step 5: Solve for x
    x = 176,568.87/488.20
  6. Step 6: Final answer
    x = 361.68

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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.