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Finding the Fourth Proportional to 284.63, 424.20 and 282.23

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Solution

The fourth proportional to 284.63, 424.20 and 282.23 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 424.20 = 282.23 : x
  2. Step 2: Convert to fraction form
    284.63/424.20 = 282.23/x
  3. Step 3: Cross multiply
    284.63x = 424.20 × 282.23
  4. Step 4: Simplify right side
    284.63x = 119,721.97
  5. Step 5: Solve for x
    x = 119,721.97/284.63
  6. Step 6: Final answer
    x = 420.62

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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.