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Finding the Fourth Proportional to 731.76, 1,097.64 and 218.76

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Solution

The fourth proportional to 731.76, 1,097.64 and 218.76 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.76 : 1,097.64 = 218.76 : x
  2. Step 2: Convert to fraction form
    731.76/1,097.64 = 218.76/x
  3. Step 3: Cross multiply
    731.76x = 1,097.64 × 218.76
  4. Step 4: Simplify right side
    731.76x = 240,119.73
  5. Step 5: Solve for x
    x = 240,119.73/731.76
  6. Step 6: Final answer
    x = 328.14

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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.