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Finding the Fourth Proportional to 426.68, 588.96 and 288.76

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Solution

The fourth proportional to 426.68, 588.96 and 288.76 is: 398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.68 : 588.96 = 288.76 : x
  2. Step 2: Convert to fraction form
    426.68/588.96 = 288.76/x
  3. Step 3: Cross multiply
    426.68x = 588.96 × 288.76
  4. Step 4: Simplify right side
    426.68x = 170,068.09
  5. Step 5: Solve for x
    x = 170,068.09/426.68
  6. Step 6: Final answer
    x = 398.58

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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.