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Finding the Fourth Proportional to 584.14, 871.65 and 532.39

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Solution

The fourth proportional to 584.14, 871.65 and 532.39 is: 794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 871.65 = 532.39 : x
  2. Step 2: Convert to fraction form
    584.14/871.65 = 532.39/x
  3. Step 3: Cross multiply
    584.14x = 871.65 × 532.39
  4. Step 4: Simplify right side
    584.14x = 464,050.72
  5. Step 5: Solve for x
    x = 464,050.72/584.14
  6. Step 6: Final answer
    x = 794.42

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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.