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Finding the Fourth Proportional to 347.43, 522.27 and 279.71

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Solution

The fourth proportional to 347.43, 522.27 and 279.71 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.43 : 522.27 = 279.71 : x
  2. Step 2: Convert to fraction form
    347.43/522.27 = 279.71/x
  3. Step 3: Cross multiply
    347.43x = 522.27 × 279.71
  4. Step 4: Simplify right side
    347.43x = 146,084.14
  5. Step 5: Solve for x
    x = 146,084.14/347.43
  6. Step 6: Final answer
    x = 420.47

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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.