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Finding the Fourth Proportional to 348.77, 523.17 and 284.51

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Solution

The fourth proportional to 348.77, 523.17 and 284.51 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 523.17 = 284.51 : x
  2. Step 2: Convert to fraction form
    348.77/523.17 = 284.51/x
  3. Step 3: Cross multiply
    348.77x = 523.17 × 284.51
  4. Step 4: Simplify right side
    348.77x = 148,844.48
  5. Step 5: Solve for x
    x = 148,844.48/348.77
  6. Step 6: Final answer
    x = 426.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.