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Finding the Fourth Proportional to 403.39, 556.71 and 228.74

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Solution

The fourth proportional to 403.39, 556.71 and 228.74 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.39 : 556.71 = 228.74 : x
  2. Step 2: Convert to fraction form
    403.39/556.71 = 228.74/x
  3. Step 3: Cross multiply
    403.39x = 556.71 × 228.74
  4. Step 4: Simplify right side
    403.39x = 127,341.85
  5. Step 5: Solve for x
    x = 127,341.85/403.39
  6. Step 6: Final answer
    x = 315.68

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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.