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Finding the Fourth Proportional to 488.02, 731.14 and 268.41

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Solution

The fourth proportional to 488.02, 731.14 and 268.41 is: 402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.02 : 731.14 = 268.41 : x
  2. Step 2: Convert to fraction form
    488.02/731.14 = 268.41/x
  3. Step 3: Cross multiply
    488.02x = 731.14 × 268.41
  4. Step 4: Simplify right side
    488.02x = 196,245.29
  5. Step 5: Solve for x
    x = 196,245.29/488.02
  6. Step 6: Final answer
    x = 402.13

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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.