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Finding the Fourth Proportional to 426.84, 588.57 and 294.12

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Solution

The fourth proportional to 426.84, 588.57 and 294.12 is: 405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 588.57 = 294.12 : x
  2. Step 2: Convert to fraction form
    426.84/588.57 = 294.12/x
  3. Step 3: Cross multiply
    426.84x = 588.57 × 294.12
  4. Step 4: Simplify right side
    426.84x = 173,110.21
  5. Step 5: Solve for x
    x = 173,110.21/426.84
  6. Step 6: Final answer
    x = 405.56

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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.