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Finding the Fourth Proportional to 284.22, 425.79 and 235.62

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Solution

The fourth proportional to 284.22, 425.79 and 235.62 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 425.79 = 235.62 : x
  2. Step 2: Convert to fraction form
    284.22/425.79 = 235.62/x
  3. Step 3: Cross multiply
    284.22x = 425.79 × 235.62
  4. Step 4: Simplify right side
    284.22x = 100,324.64
  5. Step 5: Solve for x
    x = 100,324.64/284.22
  6. Step 6: Final answer
    x = 352.98

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Why These Related Problems?

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