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Finding the Fourth Proportional to 405.74, 559.98 and 340.22

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Solution

The fourth proportional to 405.74, 559.98 and 340.22 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.74 : 559.98 = 340.22 : x
  2. Step 2: Convert to fraction form
    405.74/559.98 = 340.22/x
  3. Step 3: Cross multiply
    405.74x = 559.98 × 340.22
  4. Step 4: Simplify right side
    405.74x = 190,516.40
  5. Step 5: Solve for x
    x = 190,516.40/405.74
  6. Step 6: Final answer
    x = 469.55

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