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Finding the Fourth Proportional to 523.87, 784.28 and 350.12

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Solution

The fourth proportional to 523.87, 784.28 and 350.12 is: 524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 784.28 = 350.12 : x
  2. Step 2: Convert to fraction form
    523.87/784.28 = 350.12/x
  3. Step 3: Cross multiply
    523.87x = 784.28 × 350.12
  4. Step 4: Simplify right side
    523.87x = 274,594.95
  5. Step 5: Solve for x
    x = 274,594.95/523.87
  6. Step 6: Final answer
    x = 524.17

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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.