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Finding the Fourth Proportional to 952.16, 1,427.76 and 490.46

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Solution

The fourth proportional to 952.16, 1,427.76 and 490.46 is: 735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.16 : 1,427.76 = 490.46 : x
  2. Step 2: Convert to fraction form
    952.16/1,427.76 = 490.46/x
  3. Step 3: Cross multiply
    952.16x = 1,427.76 × 490.46
  4. Step 4: Simplify right side
    952.16x = 700,252.03
  5. Step 5: Solve for x
    x = 700,252.03/952.16
  6. Step 6: Final answer
    x = 735.44

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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.