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Finding the Fourth Proportional to 520.60, 780.36 and 398.56

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Solution

The fourth proportional to 520.60, 780.36 and 398.56 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 780.36 = 398.56 : x
  2. Step 2: Convert to fraction form
    520.60/780.36 = 398.56/x
  3. Step 3: Cross multiply
    520.60x = 780.36 × 398.56
  4. Step 4: Simplify right side
    520.60x = 311,020.28
  5. Step 5: Solve for x
    x = 311,020.28/520.60
  6. Step 6: Final answer
    x = 597.43

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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.