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Finding the Fourth Proportional to 405.48, 559.54 and 228.43

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Solution

The fourth proportional to 405.48, 559.54 and 228.43 is: 315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 559.54 = 228.43 : x
  2. Step 2: Convert to fraction form
    405.48/559.54 = 228.43/x
  3. Step 3: Cross multiply
    405.48x = 559.54 × 228.43
  4. Step 4: Simplify right side
    405.48x = 127,815.72
  5. Step 5: Solve for x
    x = 127,815.72/405.48
  6. Step 6: Final answer
    x = 315.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.