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Finding the Fourth Proportional to 468.39, 646.31 and 271.87

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Solution

The fourth proportional to 468.39, 646.31 and 271.87 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.39 : 646.31 = 271.87 : x
  2. Step 2: Convert to fraction form
    468.39/646.31 = 271.87/x
  3. Step 3: Cross multiply
    468.39x = 646.31 × 271.87
  4. Step 4: Simplify right side
    468.39x = 175,712.30
  5. Step 5: Solve for x
    x = 175,712.30/468.39
  6. Step 6: Final answer
    x = 375.14

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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.