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Finding the Fourth Proportional to 347.92, 522.21 and 271.18

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Solution

The fourth proportional to 347.92, 522.21 and 271.18 is: 407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.92 : 522.21 = 271.18 : x
  2. Step 2: Convert to fraction form
    347.92/522.21 = 271.18/x
  3. Step 3: Cross multiply
    347.92x = 522.21 × 271.18
  4. Step 4: Simplify right side
    347.92x = 141,612.91
  5. Step 5: Solve for x
    x = 141,612.91/347.92
  6. Step 6: Final answer
    x = 407.03

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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.