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Finding the Fourth Proportional to 457.92, 687.56 and 451.08

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Solution

The fourth proportional to 457.92, 687.56 and 451.08 is: 677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 687.56 = 451.08 : x
  2. Step 2: Convert to fraction form
    457.92/687.56 = 451.08/x
  3. Step 3: Cross multiply
    457.92x = 687.56 × 451.08
  4. Step 4: Simplify right side
    457.92x = 310,145.16
  5. Step 5: Solve for x
    x = 310,145.16/457.92
  6. Step 6: Final answer
    x = 677.30

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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.