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Finding the Fourth Proportional to 624.02, 935.57 and 299.61

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Solution

The fourth proportional to 624.02, 935.57 and 299.61 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.02 : 935.57 = 299.61 : x
  2. Step 2: Convert to fraction form
    624.02/935.57 = 299.61/x
  3. Step 3: Cross multiply
    624.02x = 935.57 × 299.61
  4. Step 4: Simplify right side
    624.02x = 280,304.63
  5. Step 5: Solve for x
    x = 280,304.63/624.02
  6. Step 6: Final answer
    x = 449.20

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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.