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Finding the Fourth Proportional to 403.14, 556.38 and 228.50

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Solution

The fourth proportional to 403.14, 556.38 and 228.50 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.14 : 556.38 = 228.50 : x
  2. Step 2: Convert to fraction form
    403.14/556.38 = 228.50/x
  3. Step 3: Cross multiply
    403.14x = 556.38 × 228.50
  4. Step 4: Simplify right side
    403.14x = 127,130.05
  5. Step 5: Solve for x
    x = 127,130.05/403.14
  6. Step 6: Final answer
    x = 315.35

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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.