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Finding the Fourth Proportional to 409.10, 564.38 and 284.84

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Solution

The fourth proportional to 409.10, 564.38 and 284.84 is: 392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 564.38 = 284.84 : x
  2. Step 2: Convert to fraction form
    409.10/564.38 = 284.84/x
  3. Step 3: Cross multiply
    409.10x = 564.38 × 284.84
  4. Step 4: Simplify right side
    409.10x = 160,753.75
  5. Step 5: Solve for x
    x = 160,753.75/409.10
  6. Step 6: Final answer
    x = 392.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.