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Finding the Fourth Proportional to 468.91, 647.02 and 272.42

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Solution

The fourth proportional to 468.91, 647.02 and 272.42 is: 375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 647.02 = 272.42 : x
  2. Step 2: Convert to fraction form
    468.91/647.02 = 272.42/x
  3. Step 3: Cross multiply
    468.91x = 647.02 × 272.42
  4. Step 4: Simplify right side
    468.91x = 176,261.19
  5. Step 5: Solve for x
    x = 176,261.19/468.91
  6. Step 6: Final answer
    x = 375.90

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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.