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Finding the Fourth Proportional to 284.52, 427.26 and 238.20

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Solution

The fourth proportional to 284.52, 427.26 and 238.20 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 427.26 = 238.20 : x
  2. Step 2: Convert to fraction form
    284.52/427.26 = 238.20/x
  3. Step 3: Cross multiply
    284.52x = 427.26 × 238.20
  4. Step 4: Simplify right side
    284.52x = 101,773.33
  5. Step 5: Solve for x
    x = 101,773.33/284.52
  6. Step 6: Final answer
    x = 357.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.