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Finding the Fourth Proportional to 813.28, 1,219.59 and 293.12

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Solution

The fourth proportional to 813.28, 1,219.59 and 293.12 is: 439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.28 : 1,219.59 = 293.12 : x
  2. Step 2: Convert to fraction form
    813.28/1,219.59 = 293.12/x
  3. Step 3: Cross multiply
    813.28x = 1,219.59 × 293.12
  4. Step 4: Simplify right side
    813.28x = 357,485.93
  5. Step 5: Solve for x
    x = 357,485.93/813.28
  6. Step 6: Final answer
    x = 439.56

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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.