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Finding the Fourth Proportional to 584.35, 876.20 and 194.24

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Solution

The fourth proportional to 584.35, 876.20 and 194.24 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.35 : 876.20 = 194.24 : x
  2. Step 2: Convert to fraction form
    584.35/876.20 = 194.24/x
  3. Step 3: Cross multiply
    584.35x = 876.20 × 194.24
  4. Step 4: Simplify right side
    584.35x = 170,194.31
  5. Step 5: Solve for x
    x = 170,194.31/584.35
  6. Step 6: Final answer
    x = 291.26

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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.