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Finding the Fourth Proportional to 411.04, 616.23 and 280.71

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Solution

The fourth proportional to 411.04, 616.23 and 280.71 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.04 : 616.23 = 280.71 : x
  2. Step 2: Convert to fraction form
    411.04/616.23 = 280.71/x
  3. Step 3: Cross multiply
    411.04x = 616.23 × 280.71
  4. Step 4: Simplify right side
    411.04x = 172,980.52
  5. Step 5: Solve for x
    x = 172,980.52/411.04
  6. Step 6: Final answer
    x = 420.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.