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Finding the Fourth Proportional to 624.73, 935.73 and 380.75

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Solution

The fourth proportional to 624.73, 935.73 and 380.75 is: 570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.73 : 935.73 = 380.75 : x
  2. Step 2: Convert to fraction form
    624.73/935.73 = 380.75/x
  3. Step 3: Cross multiply
    624.73x = 935.73 × 380.75
  4. Step 4: Simplify right side
    624.73x = 356,279.20
  5. Step 5: Solve for x
    x = 356,279.20/624.73
  6. Step 6: Final answer
    x = 570.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.