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Finding the Fourth Proportional to 347.68, 522.04 and 232.84

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Solution

The fourth proportional to 347.68, 522.04 and 232.84 is: 349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.68 : 522.04 = 232.84 : x
  2. Step 2: Convert to fraction form
    347.68/522.04 = 232.84/x
  3. Step 3: Cross multiply
    347.68x = 522.04 × 232.84
  4. Step 4: Simplify right side
    347.68x = 121,551.79
  5. Step 5: Solve for x
    x = 121,551.79/347.68
  6. Step 6: Final answer
    x = 349.61

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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.