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Finding the Fourth Proportional to 403.42, 556.68 and 228.76

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Solution

The fourth proportional to 403.42, 556.68 and 228.76 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.42 : 556.68 = 228.76 : x
  2. Step 2: Convert to fraction form
    403.42/556.68 = 228.76/x
  3. Step 3: Cross multiply
    403.42x = 556.68 × 228.76
  4. Step 4: Simplify right side
    403.42x = 127,346.12
  5. Step 5: Solve for x
    x = 127,346.12/403.42
  6. Step 6: Final answer
    x = 315.67

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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.