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Finding the Fourth Proportional to 624.19, 935.34 and 380.65

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Solution

The fourth proportional to 624.19, 935.34 and 380.65 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.19 : 935.34 = 380.65 : x
  2. Step 2: Convert to fraction form
    624.19/935.34 = 380.65/x
  3. Step 3: Cross multiply
    624.19x = 935.34 × 380.65
  4. Step 4: Simplify right side
    624.19x = 356,037.17
  5. Step 5: Solve for x
    x = 356,037.17/624.19
  6. Step 6: Final answer
    x = 570.40

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