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Finding the Fourth Proportional to 952.56, 1,428.82 and 303.28

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Solution

The fourth proportional to 952.56, 1,428.82 and 303.28 is: 454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.56 : 1,428.82 = 303.28 : x
  2. Step 2: Convert to fraction form
    952.56/1,428.82 = 303.28/x
  3. Step 3: Cross multiply
    952.56x = 1,428.82 × 303.28
  4. Step 4: Simplify right side
    952.56x = 433,332.53
  5. Step 5: Solve for x
    x = 433,332.53/952.56
  6. Step 6: Final answer
    x = 454.91

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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.