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Finding the Fourth Proportional to 468.27, 646.19 and 271.84

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Solution

The fourth proportional to 468.27, 646.19 and 271.84 is: 375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.27 : 646.19 = 271.84 : x
  2. Step 2: Convert to fraction form
    468.27/646.19 = 271.84/x
  3. Step 3: Cross multiply
    468.27x = 646.19 × 271.84
  4. Step 4: Simplify right side
    468.27x = 175,660.29
  5. Step 5: Solve for x
    x = 175,660.29/468.27
  6. Step 6: Final answer
    x = 375.13

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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.