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Finding the Fourth Proportional to 566.46, 844.13 and 547.88

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Solution

The fourth proportional to 566.46, 844.13 and 547.88 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 844.13 = 547.88 : x
  2. Step 2: Convert to fraction form
    566.46/844.13 = 547.88/x
  3. Step 3: Cross multiply
    566.46x = 844.13 × 547.88
  4. Step 4: Simplify right side
    566.46x = 462,481.94
  5. Step 5: Solve for x
    x = 462,481.94/566.46
  6. Step 6: Final answer
    x = 816.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.