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Finding the Fourth Proportional to 286.34, 392.13 and 284.66

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Solution

The fourth proportional to 286.34, 392.13 and 284.66 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.34 : 392.13 = 284.66 : x
  2. Step 2: Convert to fraction form
    286.34/392.13 = 284.66/x
  3. Step 3: Cross multiply
    286.34x = 392.13 × 284.66
  4. Step 4: Simplify right side
    286.34x = 111,622.30
  5. Step 5: Solve for x
    x = 111,622.30/286.34
  6. Step 6: Final answer
    x = 389.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.