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Finding the Fourth Proportional to 348.25, 521.73 and 210.79

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Solution

The fourth proportional to 348.25, 521.73 and 210.79 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.25 : 521.73 = 210.79 : x
  2. Step 2: Convert to fraction form
    348.25/521.73 = 210.79/x
  3. Step 3: Cross multiply
    348.25x = 521.73 × 210.79
  4. Step 4: Simplify right side
    348.25x = 109,975.47
  5. Step 5: Solve for x
    x = 109,975.47/348.25
  6. Step 6: Final answer
    x = 315.79

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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.