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Finding the Fourth Proportional to 426.84, 588.64 and 284.80

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Solution

The fourth proportional to 426.84, 588.64 and 284.80 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 588.64 = 284.80 : x
  2. Step 2: Convert to fraction form
    426.84/588.64 = 284.80/x
  3. Step 3: Cross multiply
    426.84x = 588.64 × 284.80
  4. Step 4: Simplify right side
    426.84x = 167,642.44
  5. Step 5: Solve for x
    x = 167,642.44/426.84
  6. Step 6: Final answer
    x = 392.76

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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.