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Finding the Fourth Proportional to 360.80, 540.40 and 264.32

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Solution

The fourth proportional to 360.80, 540.40 and 264.32 is: 395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 540.40 = 264.32 : x
  2. Step 2: Convert to fraction form
    360.80/540.40 = 264.32/x
  3. Step 3: Cross multiply
    360.80x = 540.40 × 264.32
  4. Step 4: Simplify right side
    360.80x = 142,838.53
  5. Step 5: Solve for x
    x = 142,838.53/360.80
  6. Step 6: Final answer
    x = 395.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.