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Finding the Fourth Proportional to 415.19, 623.96 and 399.85

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Solution

The fourth proportional to 415.19, 623.96 and 399.85 is: 600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.19 : 623.96 = 399.85 : x
  2. Step 2: Convert to fraction form
    415.19/623.96 = 399.85/x
  3. Step 3: Cross multiply
    415.19x = 623.96 × 399.85
  4. Step 4: Simplify right side
    415.19x = 249,490.41
  5. Step 5: Solve for x
    x = 249,490.41/415.19
  6. Step 6: Final answer
    x = 600.91

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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.