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Finding the Fourth Proportional to 625.24, 862.80 and 345.48

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Solution

The fourth proportional to 625.24, 862.80 and 345.48 is: 476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 862.80 = 345.48 : x
  2. Step 2: Convert to fraction form
    625.24/862.80 = 345.48/x
  3. Step 3: Cross multiply
    625.24x = 862.80 × 345.48
  4. Step 4: Simplify right side
    625.24x = 298,080.14
  5. Step 5: Solve for x
    x = 298,080.14/625.24
  6. Step 6: Final answer
    x = 476.75

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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.