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Finding the Fourth Proportional to 624.91, 862.36 and 345.14

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Solution

The fourth proportional to 624.91, 862.36 and 345.14 is: 476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.91 : 862.36 = 345.14 : x
  2. Step 2: Convert to fraction form
    624.91/862.36 = 345.14/x
  3. Step 3: Cross multiply
    624.91x = 862.36 × 345.14
  4. Step 4: Simplify right side
    624.91x = 297,634.93
  5. Step 5: Solve for x
    x = 297,634.93/624.91
  6. Step 6: Final answer
    x = 476.29

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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.