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Finding the Fourth Proportional to 524.82, 787.34 and 200.19

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Solution

The fourth proportional to 524.82, 787.34 and 200.19 is: 300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 787.34 = 200.19 : x
  2. Step 2: Convert to fraction form
    524.82/787.34 = 200.19/x
  3. Step 3: Cross multiply
    524.82x = 787.34 × 200.19
  4. Step 4: Simplify right side
    524.82x = 157,617.59
  5. Step 5: Solve for x
    x = 157,617.59/524.82
  6. Step 6: Final answer
    x = 300.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.