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Finding the Fourth Proportional to 584.19, 876.11 and 194.13

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Solution

The fourth proportional to 584.19, 876.11 and 194.13 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 876.11 = 194.13 : x
  2. Step 2: Convert to fraction form
    584.19/876.11 = 194.13/x
  3. Step 3: Cross multiply
    584.19x = 876.11 × 194.13
  4. Step 4: Simplify right side
    584.19x = 170,078.26
  5. Step 5: Solve for x
    x = 170,078.26/584.19
  6. Step 6: Final answer
    x = 291.14

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