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Finding the Fourth Proportional to 422.78, 583.23 and 282.93

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Solution

The fourth proportional to 422.78, 583.23 and 282.93 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 583.23 = 282.93 : x
  2. Step 2: Convert to fraction form
    422.78/583.23 = 282.93/x
  3. Step 3: Cross multiply
    422.78x = 583.23 × 282.93
  4. Step 4: Simplify right side
    422.78x = 165,009.75
  5. Step 5: Solve for x
    x = 165,009.75/422.78
  6. Step 6: Final answer
    x = 390.30

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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.