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Finding the Fourth Proportional to 405.22, 559.22 and 228.19

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Solution

The fourth proportional to 405.22, 559.22 and 228.19 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 559.22 = 228.19 : x
  2. Step 2: Convert to fraction form
    405.22/559.22 = 228.19/x
  3. Step 3: Cross multiply
    405.22x = 559.22 × 228.19
  4. Step 4: Simplify right side
    405.22x = 127,608.41
  5. Step 5: Solve for x
    x = 127,608.41/405.22
  6. Step 6: Final answer
    x = 314.91

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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.