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Finding the Fourth Proportional to 284.58, 426.87 and 223.63

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Solution

The fourth proportional to 284.58, 426.87 and 223.63 is: 335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 426.87 = 223.63 : x
  2. Step 2: Convert to fraction form
    284.58/426.87 = 223.63/x
  3. Step 3: Cross multiply
    284.58x = 426.87 × 223.63
  4. Step 4: Simplify right side
    284.58x = 95,459.87
  5. Step 5: Solve for x
    x = 95,459.87/284.58
  6. Step 6: Final answer
    x = 335.44

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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.