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Finding the Fourth Proportional to 566.45, 781.46 and 356.25

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Solution

The fourth proportional to 566.45, 781.46 and 356.25 is: 491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.45 : 781.46 = 356.25 : x
  2. Step 2: Convert to fraction form
    566.45/781.46 = 356.25/x
  3. Step 3: Cross multiply
    566.45x = 781.46 × 356.25
  4. Step 4: Simplify right side
    566.45x = 278,399.61
  5. Step 5: Solve for x
    x = 278,399.61/566.45
  6. Step 6: Final answer
    x = 491.48

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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.