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Finding the Fourth Proportional to 523.80, 784.81 and 369.45

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Solution

The fourth proportional to 523.80, 784.81 and 369.45 is: 553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 784.81 = 369.45 : x
  2. Step 2: Convert to fraction form
    523.80/784.81 = 369.45/x
  3. Step 3: Cross multiply
    523.80x = 784.81 × 369.45
  4. Step 4: Simplify right side
    523.80x = 289,945.57
  5. Step 5: Solve for x
    x = 289,945.57/523.80
  6. Step 6: Final answer
    x = 553.55

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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.