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Finding the Fourth Proportional to 625.40, 862.54 and 376.66

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Solution

The fourth proportional to 625.40, 862.54 and 376.66 is: 519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.40 : 862.54 = 376.66 : x
  2. Step 2: Convert to fraction form
    625.40/862.54 = 376.66/x
  3. Step 3: Cross multiply
    625.40x = 862.54 × 376.66
  4. Step 4: Simplify right side
    625.40x = 324,884.32
  5. Step 5: Solve for x
    x = 324,884.32/625.40
  6. Step 6: Final answer
    x = 519.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.