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Finding the Fourth Proportional to 538.92, 742.50 and 407.16

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Solution

The fourth proportional to 538.92, 742.50 and 407.16 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 742.50 = 407.16 : x
  2. Step 2: Convert to fraction form
    538.92/742.50 = 407.16/x
  3. Step 3: Cross multiply
    538.92x = 742.50 × 407.16
  4. Step 4: Simplify right side
    538.92x = 302,316.30
  5. Step 5: Solve for x
    x = 302,316.30/538.92
  6. Step 6: Final answer
    x = 560.97

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