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Finding the Fourth Proportional to 347.73, 479.96 and 207.86

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Solution

The fourth proportional to 347.73, 479.96 and 207.86 is: 286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.73 : 479.96 = 207.86 : x
  2. Step 2: Convert to fraction form
    347.73/479.96 = 207.86/x
  3. Step 3: Cross multiply
    347.73x = 479.96 × 207.86
  4. Step 4: Simplify right side
    347.73x = 99,762.61
  5. Step 5: Solve for x
    x = 99,762.61/347.73
  6. Step 6: Final answer
    x = 286.90

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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.