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Finding the Fourth Proportional to 284.25, 423.12 and 270.98

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Solution

The fourth proportional to 284.25, 423.12 and 270.98 is: 403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 423.12 = 270.98 : x
  2. Step 2: Convert to fraction form
    284.25/423.12 = 270.98/x
  3. Step 3: Cross multiply
    284.25x = 423.12 × 270.98
  4. Step 4: Simplify right side
    284.25x = 114,654.94
  5. Step 5: Solve for x
    x = 114,654.94/284.25
  6. Step 6: Final answer
    x = 403.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.