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Finding the Fourth Proportional to 524.83, 787.38 and 200.02

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Solution

The fourth proportional to 524.83, 787.38 and 200.02 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.83 : 787.38 = 200.02 : x
  2. Step 2: Convert to fraction form
    524.83/787.38 = 200.02/x
  3. Step 3: Cross multiply
    524.83x = 787.38 × 200.02
  4. Step 4: Simplify right side
    524.83x = 157,491.75
  5. Step 5: Solve for x
    x = 157,491.75/524.83
  6. Step 6: Final answer
    x = 300.08

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