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Finding the Fourth Proportional to 443.57, 662.15 and 411.52

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Solution

The fourth proportional to 443.57, 662.15 and 411.52 is: 614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.57 : 662.15 = 411.52 : x
  2. Step 2: Convert to fraction form
    443.57/662.15 = 411.52/x
  3. Step 3: Cross multiply
    443.57x = 662.15 × 411.52
  4. Step 4: Simplify right side
    443.57x = 272,482.60
  5. Step 5: Solve for x
    x = 272,482.60/443.57
  6. Step 6: Final answer
    x = 614.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.