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Finding the Fourth Proportional to 402.71, 555.81 and 228.05

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Solution

The fourth proportional to 402.71, 555.81 and 228.05 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.71 : 555.81 = 228.05 : x
  2. Step 2: Convert to fraction form
    402.71/555.81 = 228.05/x
  3. Step 3: Cross multiply
    402.71x = 555.81 × 228.05
  4. Step 4: Simplify right side
    402.71x = 126,749.69
  5. Step 5: Solve for x
    x = 126,749.69/402.71
  6. Step 6: Final answer
    x = 314.75

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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.