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Finding the Fourth Proportional to 952.93, 1,429.31 and 397.41

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Solution

The fourth proportional to 952.93, 1,429.31 and 397.41 is: 596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.93 : 1,429.31 = 397.41 : x
  2. Step 2: Convert to fraction form
    952.93/1,429.31 = 397.41/x
  3. Step 3: Cross multiply
    952.93x = 1,429.31 × 397.41
  4. Step 4: Simplify right side
    952.93x = 568,017.72
  5. Step 5: Solve for x
    x = 568,017.72/952.93
  6. Step 6: Final answer
    x = 596.07

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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.