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Finding the Fourth Proportional to 284.11, 424.34 and 243.12

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Solution

The fourth proportional to 284.11, 424.34 and 243.12 is: 363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.11 : 424.34 = 243.12 : x
  2. Step 2: Convert to fraction form
    284.11/424.34 = 243.12/x
  3. Step 3: Cross multiply
    284.11x = 424.34 × 243.12
  4. Step 4: Simplify right side
    284.11x = 103,164.48
  5. Step 5: Solve for x
    x = 103,164.48/284.11
  6. Step 6: Final answer
    x = 363.11

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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.