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Finding the Fourth Proportional to 468.78, 646.92 and 272.36

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Solution

The fourth proportional to 468.78, 646.92 and 272.36 is: 375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.92 = 272.36 : x
  2. Step 2: Convert to fraction form
    468.78/646.92 = 272.36/x
  3. Step 3: Cross multiply
    468.78x = 646.92 × 272.36
  4. Step 4: Simplify right side
    468.78x = 176,195.13
  5. Step 5: Solve for x
    x = 176,195.13/468.78
  6. Step 6: Final answer
    x = 375.86

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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.