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Finding the Fourth Proportional to 284.98, 426.54 and 244.43

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Solution

The fourth proportional to 284.98, 426.54 and 244.43 is: 365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.98 : 426.54 = 244.43 : x
  2. Step 2: Convert to fraction form
    284.98/426.54 = 244.43/x
  3. Step 3: Cross multiply
    284.98x = 426.54 × 244.43
  4. Step 4: Simplify right side
    284.98x = 104,259.17
  5. Step 5: Solve for x
    x = 104,259.17/284.98
  6. Step 6: Final answer
    x = 365.85

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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.