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Finding the Fourth Proportional to 566.26, 781.39 and 379.72

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Solution

The fourth proportional to 566.26, 781.39 and 379.72 is: 523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.26 : 781.39 = 379.72 : x
  2. Step 2: Convert to fraction form
    566.26/781.39 = 379.72/x
  3. Step 3: Cross multiply
    566.26x = 781.39 × 379.72
  4. Step 4: Simplify right side
    566.26x = 296,707.93
  5. Step 5: Solve for x
    x = 296,707.93/566.26
  6. Step 6: Final answer
    x = 523.98

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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.