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Finding the Fourth Proportional to 468.24, 701.95 and 251.56

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Solution

The fourth proportional to 468.24, 701.95 and 251.56 is: 377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 701.95 = 251.56 : x
  2. Step 2: Convert to fraction form
    468.24/701.95 = 251.56/x
  3. Step 3: Cross multiply
    468.24x = 701.95 × 251.56
  4. Step 4: Simplify right side
    468.24x = 176,581.91
  5. Step 5: Solve for x
    x = 176,581.91/468.24
  6. Step 6: Final answer
    x = 377.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.