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Finding the Fourth Proportional to 624.98, 862.46 and 345.24

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Solution

The fourth proportional to 624.98, 862.46 and 345.24 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.98 : 862.46 = 345.24 : x
  2. Step 2: Convert to fraction form
    624.98/862.46 = 345.24/x
  3. Step 3: Cross multiply
    624.98x = 862.46 × 345.24
  4. Step 4: Simplify right side
    624.98x = 297,755.69
  5. Step 5: Solve for x
    x = 297,755.69/624.98
  6. Step 6: Final answer
    x = 476.42

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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.