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Finding the Fourth Proportional to 409.12, 564.29 and 284.81

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Solution

The fourth proportional to 409.12, 564.29 and 284.81 is: 392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 564.29 = 284.81 : x
  2. Step 2: Convert to fraction form
    409.12/564.29 = 284.81/x
  3. Step 3: Cross multiply
    409.12x = 564.29 × 284.81
  4. Step 4: Simplify right side
    409.12x = 160,712.26
  5. Step 5: Solve for x
    x = 160,712.26/409.12
  6. Step 6: Final answer
    x = 392.83

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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.