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Finding the Fourth Proportional to 403.52, 556.86 and 228.86

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Solution

The fourth proportional to 403.52, 556.86 and 228.86 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.52 : 556.86 = 228.86 : x
  2. Step 2: Convert to fraction form
    403.52/556.86 = 228.86/x
  3. Step 3: Cross multiply
    403.52x = 556.86 × 228.86
  4. Step 4: Simplify right side
    403.52x = 127,442.98
  5. Step 5: Solve for x
    x = 127,442.98/403.52
  6. Step 6: Final answer
    x = 315.83

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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.