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Finding the Fourth Proportional to 411.69, 614.30 and 402.37

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Solution

The fourth proportional to 411.69, 614.30 and 402.37 is: 600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.69 : 614.30 = 402.37 : x
  2. Step 2: Convert to fraction form
    411.69/614.30 = 402.37/x
  3. Step 3: Cross multiply
    411.69x = 614.30 × 402.37
  4. Step 4: Simplify right side
    411.69x = 247,175.89
  5. Step 5: Solve for x
    x = 247,175.89/411.69
  6. Step 6: Final answer
    x = 600.39

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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.