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Finding the Fourth Proportional to 394.16, 587.02 and 392.16

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Solution

The fourth proportional to 394.16, 587.02 and 392.16 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 587.02 = 392.16 : x
  2. Step 2: Convert to fraction form
    394.16/587.02 = 392.16/x
  3. Step 3: Cross multiply
    394.16x = 587.02 × 392.16
  4. Step 4: Simplify right side
    394.16x = 230,205.76
  5. Step 5: Solve for x
    x = 230,205.76/394.16
  6. Step 6: Final answer
    x = 584.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.