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Finding the Fourth Proportional to 565.20, 780.08 and 368.71

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Solution

The fourth proportional to 565.20, 780.08 and 368.71 is: 508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 780.08 = 368.71 : x
  2. Step 2: Convert to fraction form
    565.20/780.08 = 368.71/x
  3. Step 3: Cross multiply
    565.20x = 780.08 × 368.71
  4. Step 4: Simplify right side
    565.20x = 287,623.30
  5. Step 5: Solve for x
    x = 287,623.30/565.20
  6. Step 6: Final answer
    x = 508.89

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