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Finding the Fourth Proportional to 426.08, 588 and 268.76

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Solution

The fourth proportional to 426.08, 588 and 268.76 is: 370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.08 : 588 = 268.76 : x
  2. Step 2: Convert to fraction form
    426.08/588 = 268.76/x
  3. Step 3: Cross multiply
    426.08x = 588 × 268.76
  4. Step 4: Simplify right side
    426.08x = 158,030.88
  5. Step 5: Solve for x
    x = 158,030.88/426.08
  6. Step 6: Final answer
    x = 370.89

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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.