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Finding the Fourth Proportional to 584.22, 874.90 and 378.17

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Solution

The fourth proportional to 584.22, 874.90 and 378.17 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.22 : 874.90 = 378.17 : x
  2. Step 2: Convert to fraction form
    584.22/874.90 = 378.17/x
  3. Step 3: Cross multiply
    584.22x = 874.90 × 378.17
  4. Step 4: Simplify right side
    584.22x = 330,860.93
  5. Step 5: Solve for x
    x = 330,860.93/584.22
  6. Step 6: Final answer
    x = 566.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.