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Finding the Fourth Proportional to 813.28, 1,219.36 and 293.16

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Solution

The fourth proportional to 813.28, 1,219.36 and 293.16 is: 439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.28 : 1,219.36 = 293.16 : x
  2. Step 2: Convert to fraction form
    813.28/1,219.36 = 293.16/x
  3. Step 3: Cross multiply
    813.28x = 1,219.36 × 293.16
  4. Step 4: Simplify right side
    813.28x = 357,467.58
  5. Step 5: Solve for x
    x = 357,467.58/813.28
  6. Step 6: Final answer
    x = 439.54

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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.