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Finding the Fourth Proportional to 524.75, 787.49 and 182.75

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Solution

The fourth proportional to 524.75, 787.49 and 182.75 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 787.49 = 182.75 : x
  2. Step 2: Convert to fraction form
    524.75/787.49 = 182.75/x
  3. Step 3: Cross multiply
    524.75x = 787.49 × 182.75
  4. Step 4: Simplify right side
    524.75x = 143,913.80
  5. Step 5: Solve for x
    x = 143,913.80/524.75
  6. Step 6: Final answer
    x = 274.25

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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.