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Finding the Fourth Proportional to 284.26, 426.45 and 202.90

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Solution

The fourth proportional to 284.26, 426.45 and 202.90 is: 304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 426.45 = 202.90 : x
  2. Step 2: Convert to fraction form
    284.26/426.45 = 202.90/x
  3. Step 3: Cross multiply
    284.26x = 426.45 × 202.90
  4. Step 4: Simplify right side
    284.26x = 86,526.71
  5. Step 5: Solve for x
    x = 86,526.71/284.26
  6. Step 6: Final answer
    x = 304.39

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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.