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Finding the Fourth Proportional to 390.80, 585.84 and 174.32

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Solution

The fourth proportional to 390.80, 585.84 and 174.32 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.80 : 585.84 = 174.32 : x
  2. Step 2: Convert to fraction form
    390.80/585.84 = 174.32/x
  3. Step 3: Cross multiply
    390.80x = 585.84 × 174.32
  4. Step 4: Simplify right side
    390.80x = 102,123.63
  5. Step 5: Solve for x
    x = 102,123.63/390.80
  6. Step 6: Final answer
    x = 261.32

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