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Finding the Fourth Proportional to 566.26, 781.27 and 356.65

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Solution

The fourth proportional to 566.26, 781.27 and 356.65 is: 492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.26 : 781.27 = 356.65 : x
  2. Step 2: Convert to fraction form
    566.26/781.27 = 356.65/x
  3. Step 3: Cross multiply
    566.26x = 781.27 × 356.65
  4. Step 4: Simplify right side
    566.26x = 278,634.26
  5. Step 5: Solve for x
    x = 278,634.26/566.26
  6. Step 6: Final answer
    x = 492.06

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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.