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Finding the Fourth Proportional to 952.45, 1,428.64 and 303.16

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Solution

The fourth proportional to 952.45, 1,428.64 and 303.16 is: 454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.45 : 1,428.64 = 303.16 : x
  2. Step 2: Convert to fraction form
    952.45/1,428.64 = 303.16/x
  3. Step 3: Cross multiply
    952.45x = 1,428.64 × 303.16
  4. Step 4: Simplify right side
    952.45x = 433,105.74
  5. Step 5: Solve for x
    x = 433,105.74/952.45
  6. Step 6: Final answer
    x = 454.73

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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.