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Finding the Fourth Proportional to 287.84, 397.44 and 200.48

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Solution

The fourth proportional to 287.84, 397.44 and 200.48 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.84 : 397.44 = 200.48 : x
  2. Step 2: Convert to fraction form
    287.84/397.44 = 200.48/x
  3. Step 3: Cross multiply
    287.84x = 397.44 × 200.48
  4. Step 4: Simplify right side
    287.84x = 79,678.77
  5. Step 5: Solve for x
    x = 79,678.77/287.84
  6. Step 6: Final answer
    x = 276.82

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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.