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Finding the Fourth Proportional to 284.44, 425.82 and 219.70

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Solution

The fourth proportional to 284.44, 425.82 and 219.70 is: 328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.44 : 425.82 = 219.70 : x
  2. Step 2: Convert to fraction form
    284.44/425.82 = 219.70/x
  3. Step 3: Cross multiply
    284.44x = 425.82 × 219.70
  4. Step 4: Simplify right side
    284.44x = 93,552.65
  5. Step 5: Solve for x
    x = 93,552.65/284.44
  6. Step 6: Final answer
    x = 328.90

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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.