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Finding the Fourth Proportional to 347.29, 478.91 and 207.43

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Solution

The fourth proportional to 347.29, 478.91 and 207.43 is: 286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 478.91 = 207.43 : x
  2. Step 2: Convert to fraction form
    347.29/478.91 = 207.43/x
  3. Step 3: Cross multiply
    347.29x = 478.91 × 207.43
  4. Step 4: Simplify right side
    347.29x = 99,339.62
  5. Step 5: Solve for x
    x = 99,339.62/347.29
  6. Step 6: Final answer
    x = 286.04

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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.