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Finding the Fourth Proportional to 347.92, 479.80 and 260.56

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Solution

The fourth proportional to 347.92, 479.80 and 260.56 is: 359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.92 : 479.80 = 260.56 : x
  2. Step 2: Convert to fraction form
    347.92/479.80 = 260.56/x
  3. Step 3: Cross multiply
    347.92x = 479.80 × 260.56
  4. Step 4: Simplify right side
    347.92x = 125,016.69
  5. Step 5: Solve for x
    x = 125,016.69/347.92
  6. Step 6: Final answer
    x = 359.33

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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.