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Finding the Fourth Proportional to 394.29, 588.51 and 348.15

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Solution

The fourth proportional to 394.29, 588.51 and 348.15 is: 519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.29 : 588.51 = 348.15 : x
  2. Step 2: Convert to fraction form
    394.29/588.51 = 348.15/x
  3. Step 3: Cross multiply
    394.29x = 588.51 × 348.15
  4. Step 4: Simplify right side
    394.29x = 204,889.76
  5. Step 5: Solve for x
    x = 204,889.76/394.29
  6. Step 6: Final answer
    x = 519.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.