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Finding the Fourth Proportional to 468.95, 647.10 and 272.43

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Solution

The fourth proportional to 468.95, 647.10 and 272.43 is: 375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.95 : 647.10 = 272.43 : x
  2. Step 2: Convert to fraction form
    468.95/647.10 = 272.43/x
  3. Step 3: Cross multiply
    468.95x = 647.10 × 272.43
  4. Step 4: Simplify right side
    468.95x = 176,289.45
  5. Step 5: Solve for x
    x = 176,289.45/468.95
  6. Step 6: Final answer
    x = 375.92

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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.