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Finding the Fourth Proportional to 520.40, 780.60 and 246.22

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Solution

The fourth proportional to 520.40, 780.60 and 246.22 is: 369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 780.60 = 246.22 : x
  2. Step 2: Convert to fraction form
    520.40/780.60 = 246.22/x
  3. Step 3: Cross multiply
    520.40x = 780.60 × 246.22
  4. Step 4: Simplify right side
    520.40x = 192,199.33
  5. Step 5: Solve for x
    x = 192,199.33/520.40
  6. Step 6: Final answer
    x = 369.33

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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.