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Finding the Fourth Proportional to 952.76, 1,428.84 and 294.64

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Solution

The fourth proportional to 952.76, 1,428.84 and 294.64 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.76 : 1,428.84 = 294.64 : x
  2. Step 2: Convert to fraction form
    952.76/1,428.84 = 294.64/x
  3. Step 3: Cross multiply
    952.76x = 1,428.84 × 294.64
  4. Step 4: Simplify right side
    952.76x = 420,989.85
  5. Step 5: Solve for x
    x = 420,989.85/952.76
  6. Step 6: Final answer
    x = 441.86

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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.