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Finding the Fourth Proportional to 524.69, 787.18 and 200.15

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Solution

The fourth proportional to 524.69, 787.18 and 200.15 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 787.18 = 200.15 : x
  2. Step 2: Convert to fraction form
    524.69/787.18 = 200.15/x
  3. Step 3: Cross multiply
    524.69x = 787.18 × 200.15
  4. Step 4: Simplify right side
    524.69x = 157,554.08
  5. Step 5: Solve for x
    x = 157,554.08/524.69
  6. Step 6: Final answer
    x = 300.28

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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.