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Finding the Fourth Proportional to 952.25, 1,428.29 and 303.17

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Solution

The fourth proportional to 952.25, 1,428.29 and 303.17 is: 454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.25 : 1,428.29 = 303.17 : x
  2. Step 2: Convert to fraction form
    952.25/1,428.29 = 303.17/x
  3. Step 3: Cross multiply
    952.25x = 1,428.29 × 303.17
  4. Step 4: Simplify right side
    952.25x = 433,006.02
  5. Step 5: Solve for x
    x = 433,006.02/952.25
  6. Step 6: Final answer
    x = 454.72

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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.