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Finding the Fourth Proportional to 564.61, 779.82 and 499

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Solution

The fourth proportional to 564.61, 779.82 and 499 is: 689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.61 : 779.82 = 499 : x
  2. Step 2: Convert to fraction form
    564.61/779.82 = 499/x
  3. Step 3: Cross multiply
    564.61x = 779.82 × 499
  4. Step 4: Simplify right side
    564.61x = 389,130.18
  5. Step 5: Solve for x
    x = 389,130.18/564.61
  6. Step 6: Final answer
    x = 689.20

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