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Finding the Fourth Proportional to 952.06, 1,427.82 and 366.97

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Solution

The fourth proportional to 952.06, 1,427.82 and 366.97 is: 550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.06 : 1,427.82 = 366.97 : x
  2. Step 2: Convert to fraction form
    952.06/1,427.82 = 366.97/x
  3. Step 3: Cross multiply
    952.06x = 1,427.82 × 366.97
  4. Step 4: Simplify right side
    952.06x = 523,967.11
  5. Step 5: Solve for x
    x = 523,967.11/952.06
  6. Step 6: Final answer
    x = 550.35

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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.