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Finding the Fourth Proportional to 422.50, 583.05 and 247.86

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Solution

The fourth proportional to 422.50, 583.05 and 247.86 is: 342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 583.05 = 247.86 : x
  2. Step 2: Convert to fraction form
    422.50/583.05 = 247.86/x
  3. Step 3: Cross multiply
    422.50x = 583.05 × 247.86
  4. Step 4: Simplify right side
    422.50x = 144,514.77
  5. Step 5: Solve for x
    x = 144,514.77/422.50
  6. Step 6: Final answer
    x = 342.05

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