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Finding the Fourth Proportional to 645.18, 965.87 and 400.96

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Solution

The fourth proportional to 645.18, 965.87 and 400.96 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 965.87 = 400.96 : x
  2. Step 2: Convert to fraction form
    645.18/965.87 = 400.96/x
  3. Step 3: Cross multiply
    645.18x = 965.87 × 400.96
  4. Step 4: Simplify right side
    645.18x = 387,275.24
  5. Step 5: Solve for x
    x = 387,275.24/645.18
  6. Step 6: Final answer
    x = 600.26

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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.