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Finding the Fourth Proportional to 284.43, 392.40 and 209.82

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Solution

The fourth proportional to 284.43, 392.40 and 209.82 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.43 : 392.40 = 209.82 : x
  2. Step 2: Convert to fraction form
    284.43/392.40 = 209.82/x
  3. Step 3: Cross multiply
    284.43x = 392.40 × 209.82
  4. Step 4: Simplify right side
    284.43x = 82,333.37
  5. Step 5: Solve for x
    x = 82,333.37/284.43
  6. Step 6: Final answer
    x = 289.47

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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.