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Finding the Fourth Proportional to 952.53, 1,429.28 and 397.65

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Solution

The fourth proportional to 952.53, 1,429.28 and 397.65 is: 596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.53 : 1,429.28 = 397.65 : x
  2. Step 2: Convert to fraction form
    952.53/1,429.28 = 397.65/x
  3. Step 3: Cross multiply
    952.53x = 1,429.28 × 397.65
  4. Step 4: Simplify right side
    952.53x = 568,353.19
  5. Step 5: Solve for x
    x = 568,353.19/952.53
  6. Step 6: Final answer
    x = 596.68

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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.