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Finding the Fourth Proportional to 422.70, 583.23 and 248.01

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Solution

The fourth proportional to 422.70, 583.23 and 248.01 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 583.23 = 248.01 : x
  2. Step 2: Convert to fraction form
    422.70/583.23 = 248.01/x
  3. Step 3: Cross multiply
    422.70x = 583.23 × 248.01
  4. Step 4: Simplify right side
    422.70x = 144,646.87
  5. Step 5: Solve for x
    x = 144,646.87/422.70
  6. Step 6: Final answer
    x = 342.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.