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Finding the Fourth Proportional to 405.28, 559.26 and 228.24

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Solution

The fourth proportional to 405.28, 559.26 and 228.24 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 559.26 = 228.24 : x
  2. Step 2: Convert to fraction form
    405.28/559.26 = 228.24/x
  3. Step 3: Cross multiply
    405.28x = 559.26 × 228.24
  4. Step 4: Simplify right side
    405.28x = 127,645.50
  5. Step 5: Solve for x
    x = 127,645.50/405.28
  6. Step 6: Final answer
    x = 314.96

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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.