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Finding the Fourth Proportional to 813.68, 1,219.78 and 293.57

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Solution

The fourth proportional to 813.68, 1,219.78 and 293.57 is: 440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,219.78 = 293.57 : x
  2. Step 2: Convert to fraction form
    813.68/1,219.78 = 293.57/x
  3. Step 3: Cross multiply
    813.68x = 1,219.78 × 293.57
  4. Step 4: Simplify right side
    813.68x = 358,089.66
  5. Step 5: Solve for x
    x = 358,089.66/813.68
  6. Step 6: Final answer
    x = 440.09

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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.