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Finding the Fourth Proportional to 524.59, 787.22 and 199.95

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Solution

The fourth proportional to 524.59, 787.22 and 199.95 is: 300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.59 : 787.22 = 199.95 : x
  2. Step 2: Convert to fraction form
    524.59/787.22 = 199.95/x
  3. Step 3: Cross multiply
    524.59x = 787.22 × 199.95
  4. Step 4: Simplify right side
    524.59x = 157,404.64
  5. Step 5: Solve for x
    x = 157,404.64/524.59
  6. Step 6: Final answer
    x = 300.05

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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.