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Finding the Fourth Proportional to 284.82, 394.71 and 281.34

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Solution

The fourth proportional to 284.82, 394.71 and 281.34 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.82 : 394.71 = 281.34 : x
  2. Step 2: Convert to fraction form
    284.82/394.71 = 281.34/x
  3. Step 3: Cross multiply
    284.82x = 394.71 × 281.34
  4. Step 4: Simplify right side
    284.82x = 111,047.71
  5. Step 5: Solve for x
    x = 111,047.71/284.82
  6. Step 6: Final answer
    x = 389.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.