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Finding the Fourth Proportional to 405.20, 559.19 and 247.90

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Solution

The fourth proportional to 405.20, 559.19 and 247.90 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.20 : 559.19 = 247.90 : x
  2. Step 2: Convert to fraction form
    405.20/559.19 = 247.90/x
  3. Step 3: Cross multiply
    405.20x = 559.19 × 247.90
  4. Step 4: Simplify right side
    405.20x = 138,623.32
  5. Step 5: Solve for x
    x = 138,623.32/405.20
  6. Step 6: Final answer
    x = 342.11

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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.