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Finding the Fourth Proportional to 584.65, 876.87 and 194.66

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Solution

The fourth proportional to 584.65, 876.87 and 194.66 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.65 : 876.87 = 194.66 : x
  2. Step 2: Convert to fraction form
    584.65/876.87 = 194.66/x
  3. Step 3: Cross multiply
    584.65x = 876.87 × 194.66
  4. Step 4: Simplify right side
    584.65x = 170,691.51
  5. Step 5: Solve for x
    x = 170,691.51/584.65
  6. Step 6: Final answer
    x = 291.96

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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.