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Finding the Fourth Proportional to 566.16, 849.40 and 338

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Solution

The fourth proportional to 566.16, 849.40 and 338 is: 507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 849.40 = 338 : x
  2. Step 2: Convert to fraction form
    566.16/849.40 = 338/x
  3. Step 3: Cross multiply
    566.16x = 849.40 × 338
  4. Step 4: Simplify right side
    566.16x = 287,097.20
  5. Step 5: Solve for x
    x = 287,097.20/566.16
  6. Step 6: Final answer
    x = 507.10

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