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Finding the Fourth Proportional to 286.08, 426.48 and 263.04

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Solution

The fourth proportional to 286.08, 426.48 and 263.04 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.08 : 426.48 = 263.04 : x
  2. Step 2: Convert to fraction form
    286.08/426.48 = 263.04/x
  3. Step 3: Cross multiply
    286.08x = 426.48 × 263.04
  4. Step 4: Simplify right side
    286.08x = 112,181.30
  5. Step 5: Solve for x
    x = 112,181.30/286.08
  6. Step 6: Final answer
    x = 392.13

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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.