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Finding the Fourth Proportional to 579.65, 869.51 and 232.94

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Solution

The fourth proportional to 579.65, 869.51 and 232.94 is: 349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.65 : 869.51 = 232.94 : x
  2. Step 2: Convert to fraction form
    579.65/869.51 = 232.94/x
  3. Step 3: Cross multiply
    579.65x = 869.51 × 232.94
  4. Step 4: Simplify right side
    579.65x = 202,538.15
  5. Step 5: Solve for x
    x = 202,538.15/579.65
  6. Step 6: Final answer
    x = 349.42

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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.