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Finding the Fourth Proportional to 411.30, 614.61 and 295.20

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Solution

The fourth proportional to 411.30, 614.61 and 295.20 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 614.61 = 295.20 : x
  2. Step 2: Convert to fraction form
    411.30/614.61 = 295.20/x
  3. Step 3: Cross multiply
    411.30x = 614.61 × 295.20
  4. Step 4: Simplify right side
    411.30x = 181,432.87
  5. Step 5: Solve for x
    x = 181,432.87/411.30
  6. Step 6: Final answer
    x = 441.12

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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.