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Finding the Fourth Proportional to 401.86, 601.88 and 228.27

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Solution

The fourth proportional to 401.86, 601.88 and 228.27 is: 341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.86 : 601.88 = 228.27 : x
  2. Step 2: Convert to fraction form
    401.86/601.88 = 228.27/x
  3. Step 3: Cross multiply
    401.86x = 601.88 × 228.27
  4. Step 4: Simplify right side
    401.86x = 137,390.16
  5. Step 5: Solve for x
    x = 137,390.16/401.86
  6. Step 6: Final answer
    x = 341.88

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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.