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Finding the Fourth Proportional to 284.91, 393.56 and 220.23

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Solution

The fourth proportional to 284.91, 393.56 and 220.23 is: 304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 393.56 = 220.23 : x
  2. Step 2: Convert to fraction form
    284.91/393.56 = 220.23/x
  3. Step 3: Cross multiply
    284.91x = 393.56 × 220.23
  4. Step 4: Simplify right side
    284.91x = 86,673.72
  5. Step 5: Solve for x
    x = 86,673.72/284.91
  6. Step 6: Final answer
    x = 304.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.