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Finding the Fourth Proportional to 393.36, 588.96 and 284.64

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Solution

The fourth proportional to 393.36, 588.96 and 284.64 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.36 : 588.96 = 284.64 : x
  2. Step 2: Convert to fraction form
    393.36/588.96 = 284.64/x
  3. Step 3: Cross multiply
    393.36x = 588.96 × 284.64
  4. Step 4: Simplify right side
    393.36x = 167,641.57
  5. Step 5: Solve for x
    x = 167,641.57/393.36
  6. Step 6: Final answer
    x = 426.18

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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.