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Finding the Fourth Proportional to 305.74, 458.68 and 260.40

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Solution

The fourth proportional to 305.74, 458.68 and 260.40 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 458.68 = 260.40 : x
  2. Step 2: Convert to fraction form
    305.74/458.68 = 260.40/x
  3. Step 3: Cross multiply
    305.74x = 458.68 × 260.40
  4. Step 4: Simplify right side
    305.74x = 119,440.27
  5. Step 5: Solve for x
    x = 119,440.27/305.74
  6. Step 6: Final answer
    x = 390.66

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