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Finding the Fourth Proportional to 284.43, 427.10 and 215.03

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Solution

The fourth proportional to 284.43, 427.10 and 215.03 is: 322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.43 : 427.10 = 215.03 : x
  2. Step 2: Convert to fraction form
    284.43/427.10 = 215.03/x
  3. Step 3: Cross multiply
    284.43x = 427.10 × 215.03
  4. Step 4: Simplify right side
    284.43x = 91,836.10
  5. Step 5: Solve for x
    x = 91,836.10/284.43
  6. Step 6: Final answer
    x = 322.88

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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.