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Finding the Fourth Proportional to 520.20, 780.21 and 173.52

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Solution

The fourth proportional to 520.20, 780.21 and 173.52 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 780.21 = 173.52 : x
  2. Step 2: Convert to fraction form
    520.20/780.21 = 173.52/x
  3. Step 3: Cross multiply
    520.20x = 780.21 × 173.52
  4. Step 4: Simplify right side
    520.20x = 135,382.04
  5. Step 5: Solve for x
    x = 135,382.04/520.20
  6. Step 6: Final answer
    x = 260.25

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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.