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Finding the Fourth Proportional to 952.51, 1,429.10 and 397.53

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Solution

The fourth proportional to 952.51, 1,429.10 and 397.53 is: 596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.51 : 1,429.10 = 397.53 : x
  2. Step 2: Convert to fraction form
    952.51/1,429.10 = 397.53/x
  3. Step 3: Cross multiply
    952.51x = 1,429.10 × 397.53
  4. Step 4: Simplify right side
    952.51x = 568,110.12
  5. Step 5: Solve for x
    x = 568,110.12/952.51
  6. Step 6: Final answer
    x = 596.43

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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.