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Finding the Fourth Proportional to 624.70, 862.08 and 344.95

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Solution

The fourth proportional to 624.70, 862.08 and 344.95 is: 476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.70 : 862.08 = 344.95 : x
  2. Step 2: Convert to fraction form
    624.70/862.08 = 344.95/x
  3. Step 3: Cross multiply
    624.70x = 862.08 × 344.95
  4. Step 4: Simplify right side
    624.70x = 297,372.77
  5. Step 5: Solve for x
    x = 297,372.77/624.70
  6. Step 6: Final answer
    x = 476.02

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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.