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Finding the Fourth Proportional to 584.26, 871.91 and 534.60

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Solution

The fourth proportional to 584.26, 871.91 and 534.60 is: 797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 871.91 = 534.60 : x
  2. Step 2: Convert to fraction form
    584.26/871.91 = 534.60/x
  3. Step 3: Cross multiply
    584.26x = 871.91 × 534.60
  4. Step 4: Simplify right side
    584.26x = 466,125.42
  5. Step 5: Solve for x
    x = 466,125.42/584.26
  6. Step 6: Final answer
    x = 797.80

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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.