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Finding the Fourth Proportional to 549.74, 824.61 and 510.86

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Solution

The fourth proportional to 549.74, 824.61 and 510.86 is: 766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.74 : 824.61 = 510.86 : x
  2. Step 2: Convert to fraction form
    549.74/824.61 = 510.86/x
  3. Step 3: Cross multiply
    549.74x = 824.61 × 510.86
  4. Step 4: Simplify right side
    549.74x = 421,260.26
  5. Step 5: Solve for x
    x = 421,260.26/549.74
  6. Step 6: Final answer
    x = 766.29

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