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Finding the Fourth Proportional to 566.23, 781.17 and 344.79

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Solution

The fourth proportional to 566.23, 781.17 and 344.79 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.23 : 781.17 = 344.79 : x
  2. Step 2: Convert to fraction form
    566.23/781.17 = 344.79/x
  3. Step 3: Cross multiply
    566.23x = 781.17 × 344.79
  4. Step 4: Simplify right side
    566.23x = 269,342.58
  5. Step 5: Solve for x
    x = 269,342.58/566.23
  6. Step 6: Final answer
    x = 475.68

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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.