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Finding the Fourth Proportional to 524.95, 787.83 and 200.41

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Solution

The fourth proportional to 524.95, 787.83 and 200.41 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.95 : 787.83 = 200.41 : x
  2. Step 2: Convert to fraction form
    524.95/787.83 = 200.41/x
  3. Step 3: Cross multiply
    524.95x = 787.83 × 200.41
  4. Step 4: Simplify right side
    524.95x = 157,889.01
  5. Step 5: Solve for x
    x = 157,889.01/524.95
  6. Step 6: Final answer
    x = 300.77

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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.