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Finding the Fourth Proportional to 624.70, 862.13 and 344.94

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Solution

The fourth proportional to 624.70, 862.13 and 344.94 is: 476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.70 : 862.13 = 344.94 : x
  2. Step 2: Convert to fraction form
    624.70/862.13 = 344.94/x
  3. Step 3: Cross multiply
    624.70x = 862.13 × 344.94
  4. Step 4: Simplify right side
    624.70x = 297,383.12
  5. Step 5: Solve for x
    x = 297,383.12/624.70
  6. Step 6: Final answer
    x = 476.04

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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.