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Finding the Fourth Proportional to 573.20, 854.46 and 566.72

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Solution

The fourth proportional to 573.20, 854.46 and 566.72 is: 844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.20 : 854.46 = 566.72 : x
  2. Step 2: Convert to fraction form
    573.20/854.46 = 566.72/x
  3. Step 3: Cross multiply
    573.20x = 854.46 × 566.72
  4. Step 4: Simplify right side
    573.20x = 484,239.57
  5. Step 5: Solve for x
    x = 484,239.57/573.20
  6. Step 6: Final answer
    x = 844.80

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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.