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Finding the Fourth Proportional to 484.18, 668.24 and 287.74

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Solution

The fourth proportional to 484.18, 668.24 and 287.74 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.18 : 668.24 = 287.74 : x
  2. Step 2: Convert to fraction form
    484.18/668.24 = 287.74/x
  3. Step 3: Cross multiply
    484.18x = 668.24 × 287.74
  4. Step 4: Simplify right side
    484.18x = 192,279.38
  5. Step 5: Solve for x
    x = 192,279.38/484.18
  6. Step 6: Final answer
    x = 397.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.