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Finding the Fourth Proportional to 585.16, 876.24 and 567.86

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Solution

The fourth proportional to 585.16, 876.24 and 567.86 is: 850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.16 : 876.24 = 567.86 : x
  2. Step 2: Convert to fraction form
    585.16/876.24 = 567.86/x
  3. Step 3: Cross multiply
    585.16x = 876.24 × 567.86
  4. Step 4: Simplify right side
    585.16x = 497,577.27
  5. Step 5: Solve for x
    x = 497,577.27/585.16
  6. Step 6: Final answer
    x = 850.33

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