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Finding the Fourth Proportional to 624.30, 934.65 and 381.30

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Solution

The fourth proportional to 624.30, 934.65 and 381.30 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 934.65 = 381.30 : x
  2. Step 2: Convert to fraction form
    624.30/934.65 = 381.30/x
  3. Step 3: Cross multiply
    624.30x = 934.65 × 381.30
  4. Step 4: Simplify right side
    624.30x = 356,382.05
  5. Step 5: Solve for x
    x = 356,382.05/624.30
  6. Step 6: Final answer
    x = 570.85

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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.