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Finding the Fourth Proportional to 520.19, 780.40 and 173.56

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Solution

The fourth proportional to 520.19, 780.40 and 173.56 is: 260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.19 : 780.40 = 173.56 : x
  2. Step 2: Convert to fraction form
    520.19/780.40 = 173.56/x
  3. Step 3: Cross multiply
    520.19x = 780.40 × 173.56
  4. Step 4: Simplify right side
    520.19x = 135,445.95
  5. Step 5: Solve for x
    x = 135,445.95/520.19
  6. Step 6: Final answer
    x = 260.38

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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.