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Finding the Fourth Proportional to 523.48, 784.76 and 198.68

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Solution

The fourth proportional to 523.48, 784.76 and 198.68 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 784.76 = 198.68 : x
  2. Step 2: Convert to fraction form
    523.48/784.76 = 198.68/x
  3. Step 3: Cross multiply
    523.48x = 784.76 × 198.68
  4. Step 4: Simplify right side
    523.48x = 155,916.12
  5. Step 5: Solve for x
    x = 155,916.12/523.48
  6. Step 6: Final answer
    x = 297.85

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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.