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Finding the Fourth Proportional to 584.71, 876.77 and 194.63

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Solution

The fourth proportional to 584.71, 876.77 and 194.63 is: 291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.71 : 876.77 = 194.63 : x
  2. Step 2: Convert to fraction form
    584.71/876.77 = 194.63/x
  3. Step 3: Cross multiply
    584.71x = 876.77 × 194.63
  4. Step 4: Simplify right side
    584.71x = 170,645.75
  5. Step 5: Solve for x
    x = 170,645.75/584.71
  6. Step 6: Final answer
    x = 291.85

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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.