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Finding the Fourth Proportional to 370.77, 511.61 and 223.41

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Solution

The fourth proportional to 370.77, 511.61 and 223.41 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.77 : 511.61 = 223.41 : x
  2. Step 2: Convert to fraction form
    370.77/511.61 = 223.41/x
  3. Step 3: Cross multiply
    370.77x = 511.61 × 223.41
  4. Step 4: Simplify right side
    370.77x = 114,298.79
  5. Step 5: Solve for x
    x = 114,298.79/370.77
  6. Step 6: Final answer
    x = 308.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.