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Finding the Fourth Proportional to 465.40, 698.10 and 451.90

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Solution

The fourth proportional to 465.40, 698.10 and 451.90 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 698.10 = 451.90 : x
  2. Step 2: Convert to fraction form
    465.40/698.10 = 451.90/x
  3. Step 3: Cross multiply
    465.40x = 698.10 × 451.90
  4. Step 4: Simplify right side
    465.40x = 315,471.39
  5. Step 5: Solve for x
    x = 315,471.39/465.40
  6. Step 6: Final answer
    x = 677.85

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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.