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Finding the Fourth Proportional to 411.62, 614.68 and 390.56

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Solution

The fourth proportional to 411.62, 614.68 and 390.56 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 614.68 = 390.56 : x
  2. Step 2: Convert to fraction form
    411.62/614.68 = 390.56/x
  3. Step 3: Cross multiply
    411.62x = 614.68 × 390.56
  4. Step 4: Simplify right side
    411.62x = 240,069.42
  5. Step 5: Solve for x
    x = 240,069.42/411.62
  6. Step 6: Final answer
    x = 583.23

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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.