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Finding the Fourth Proportional to 813.36, 1,219.05 and 350.64

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Solution

The fourth proportional to 813.36, 1,219.05 and 350.64 is: 525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.36 : 1,219.05 = 350.64 : x
  2. Step 2: Convert to fraction form
    813.36/1,219.05 = 350.64/x
  3. Step 3: Cross multiply
    813.36x = 1,219.05 × 350.64
  4. Step 4: Simplify right side
    813.36x = 427,447.69
  5. Step 5: Solve for x
    x = 427,447.69/813.36
  6. Step 6: Final answer
    x = 525.53

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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.