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Finding the Fourth Proportional to 398.71, 597.05 and 242.18

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Solution

The fourth proportional to 398.71, 597.05 and 242.18 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.71 : 597.05 = 242.18 : x
  2. Step 2: Convert to fraction form
    398.71/597.05 = 242.18/x
  3. Step 3: Cross multiply
    398.71x = 597.05 × 242.18
  4. Step 4: Simplify right side
    398.71x = 144,593.57
  5. Step 5: Solve for x
    x = 144,593.57/398.71
  6. Step 6: Final answer
    x = 362.65

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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.