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Finding the Fourth Proportional to 409.60, 564.65 and 284.91

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Solution

The fourth proportional to 409.60, 564.65 and 284.91 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 564.65 = 284.91 : x
  2. Step 2: Convert to fraction form
    409.60/564.65 = 284.91/x
  3. Step 3: Cross multiply
    409.60x = 564.65 × 284.91
  4. Step 4: Simplify right side
    409.60x = 160,873.01
  5. Step 5: Solve for x
    x = 160,873.01/409.60
  6. Step 6: Final answer
    x = 392.76

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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.