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Finding the Fourth Proportional to 403.15, 556.39 and 228.55

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Solution

The fourth proportional to 403.15, 556.39 and 228.55 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.15 : 556.39 = 228.55 : x
  2. Step 2: Convert to fraction form
    403.15/556.39 = 228.55/x
  3. Step 3: Cross multiply
    403.15x = 556.39 × 228.55
  4. Step 4: Simplify right side
    403.15x = 127,162.93
  5. Step 5: Solve for x
    x = 127,162.93/403.15
  6. Step 6: Final answer
    x = 315.42

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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.