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Finding the Fourth Proportional to 549.23, 823.10 and 302.06

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Solution

The fourth proportional to 549.23, 823.10 and 302.06 is: 452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.23 : 823.10 = 302.06 : x
  2. Step 2: Convert to fraction form
    549.23/823.10 = 302.06/x
  3. Step 3: Cross multiply
    549.23x = 823.10 × 302.06
  4. Step 4: Simplify right side
    549.23x = 248,624.28
  5. Step 5: Solve for x
    x = 248,624.28/549.23
  6. Step 6: Final answer
    x = 452.68

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