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Finding the Fourth Proportional to 467.20, 701.61 and 451

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Solution

The fourth proportional to 467.20, 701.61 and 451 is: 677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.20 : 701.61 = 451 : x
  2. Step 2: Convert to fraction form
    467.20/701.61 = 451/x
  3. Step 3: Cross multiply
    467.20x = 701.61 × 451
  4. Step 4: Simplify right side
    467.20x = 316,426.11
  5. Step 5: Solve for x
    x = 316,426.11/467.20
  6. Step 6: Final answer
    x = 677.28

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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.