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Finding the Fourth Proportional to 292.61, 439.83 and 280.77

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Solution

The fourth proportional to 292.61, 439.83 and 280.77 is: 422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.61 : 439.83 = 280.77 : x
  2. Step 2: Convert to fraction form
    292.61/439.83 = 280.77/x
  3. Step 3: Cross multiply
    292.61x = 439.83 × 280.77
  4. Step 4: Simplify right side
    292.61x = 123,489.42
  5. Step 5: Solve for x
    x = 123,489.42/292.61
  6. Step 6: Final answer
    x = 422.02

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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.