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Finding the Fourth Proportional to 407.70, 561.87 and 296.91

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Solution

The fourth proportional to 407.70, 561.87 and 296.91 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 561.87 = 296.91 : x
  2. Step 2: Convert to fraction form
    407.70/561.87 = 296.91/x
  3. Step 3: Cross multiply
    407.70x = 561.87 × 296.91
  4. Step 4: Simplify right side
    407.70x = 166,824.82
  5. Step 5: Solve for x
    x = 166,824.82/407.70
  6. Step 6: Final answer
    x = 409.19

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