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Finding the Fourth Proportional to 952.02, 1,427.76 and 293.70

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Solution

The fourth proportional to 952.02, 1,427.76 and 293.70 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,427.76 = 293.70 : x
  2. Step 2: Convert to fraction form
    952.02/1,427.76 = 293.70/x
  3. Step 3: Cross multiply
    952.02x = 1,427.76 × 293.70
  4. Step 4: Simplify right side
    952.02x = 419,333.11
  5. Step 5: Solve for x
    x = 419,333.11/952.02
  6. Step 6: Final answer
    x = 440.47

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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.