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Finding the Fourth Proportional to 523.92, 784.48 and 369.52

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Solution

The fourth proportional to 523.92, 784.48 and 369.52 is: 553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 784.48 = 369.52 : x
  2. Step 2: Convert to fraction form
    523.92/784.48 = 369.52/x
  3. Step 3: Cross multiply
    523.92x = 784.48 × 369.52
  4. Step 4: Simplify right side
    523.92x = 289,881.05
  5. Step 5: Solve for x
    x = 289,881.05/523.92
  6. Step 6: Final answer
    x = 553.29

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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.