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Finding the Fourth Proportional to 584.21, 871.46 and 575.10

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Solution

The fourth proportional to 584.21, 871.46 and 575.10 is: 857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.21 : 871.46 = 575.10 : x
  2. Step 2: Convert to fraction form
    584.21/871.46 = 575.10/x
  3. Step 3: Cross multiply
    584.21x = 871.46 × 575.10
  4. Step 4: Simplify right side
    584.21x = 501,175.93
  5. Step 5: Solve for x
    x = 501,175.93/584.21
  6. Step 6: Final answer
    x = 857.87

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