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Finding the Fourth Proportional to 468.26, 646.42 and 271.74

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Solution

The fourth proportional to 468.26, 646.42 and 271.74 is: 375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 646.42 = 271.74 : x
  2. Step 2: Convert to fraction form
    468.26/646.42 = 271.74/x
  3. Step 3: Cross multiply
    468.26x = 646.42 × 271.74
  4. Step 4: Simplify right side
    468.26x = 175,658.17
  5. Step 5: Solve for x
    x = 175,658.17/468.26
  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.