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Finding the Fourth Proportional to 402.64, 555.66 and 228.02

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Solution

The fourth proportional to 402.64, 555.66 and 228.02 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 555.66 = 228.02 : x
  2. Step 2: Convert to fraction form
    402.64/555.66 = 228.02/x
  3. Step 3: Cross multiply
    402.64x = 555.66 × 228.02
  4. Step 4: Simplify right side
    402.64x = 126,701.59
  5. Step 5: Solve for x
    x = 126,701.59/402.64
  6. Step 6: Final answer
    x = 314.68

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Why These Related Problems?

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