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Finding the Fourth Proportional to 566.24, 855.56 and 563

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Solution

The fourth proportional to 566.24, 855.56 and 563 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 855.56 = 563 : x
  2. Step 2: Convert to fraction form
    566.24/855.56 = 563/x
  3. Step 3: Cross multiply
    566.24x = 855.56 × 563
  4. Step 4: Simplify right side
    566.24x = 481,680.28
  5. Step 5: Solve for x
    x = 481,680.28/566.24
  6. Step 6: Final answer
    x = 850.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.