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Finding the Fourth Proportional to 813.63, 1,220.45 and 228.61

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Solution

The fourth proportional to 813.63, 1,220.45 and 228.61 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.63 : 1,220.45 = 228.61 : x
  2. Step 2: Convert to fraction form
    813.63/1,220.45 = 228.61/x
  3. Step 3: Cross multiply
    813.63x = 1,220.45 × 228.61
  4. Step 4: Simplify right side
    813.63x = 279,003.25
  5. Step 5: Solve for x
    x = 279,003.25/813.63
  6. Step 6: Final answer
    x = 342.91

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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.