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Finding the Fourth Proportional to 952.96, 1,429.26 and 285.72

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Solution

The fourth proportional to 952.96, 1,429.26 and 285.72 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.96 : 1,429.26 = 285.72 : x
  2. Step 2: Convert to fraction form
    952.96/1,429.26 = 285.72/x
  3. Step 3: Cross multiply
    952.96x = 1,429.26 × 285.72
  4. Step 4: Simplify right side
    952.96x = 408,361.02
  5. Step 5: Solve for x
    x = 408,361.02/952.96
  6. Step 6: Final answer
    x = 428.52

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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.