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Finding the Fourth Proportional to 426.09, 587.62 and 286.10

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Solution

The fourth proportional to 426.09, 587.62 and 286.10 is: 394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 587.62 = 286.10 : x
  2. Step 2: Convert to fraction form
    426.09/587.62 = 286.10/x
  3. Step 3: Cross multiply
    426.09x = 587.62 × 286.10
  4. Step 4: Simplify right side
    426.09x = 168,118.08
  5. Step 5: Solve for x
    x = 168,118.08/426.09
  6. Step 6: Final answer
    x = 394.56

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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.