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Finding the Fourth Proportional to 579.69, 869.51 and 194.94

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Solution

The fourth proportional to 579.69, 869.51 and 194.94 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.69 : 869.51 = 194.94 : x
  2. Step 2: Convert to fraction form
    579.69/869.51 = 194.94/x
  3. Step 3: Cross multiply
    579.69x = 869.51 × 194.94
  4. Step 4: Simplify right side
    579.69x = 169,502.77
  5. Step 5: Solve for x
    x = 169,502.77/579.69
  6. Step 6: Final answer
    x = 292.40

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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.