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Finding the Fourth Proportional to 520.21, 780.82 and 434.09

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Solution

The fourth proportional to 520.21, 780.82 and 434.09 is: 651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.21 : 780.82 = 434.09 : x
  2. Step 2: Convert to fraction form
    520.21/780.82 = 434.09/x
  3. Step 3: Cross multiply
    520.21x = 780.82 × 434.09
  4. Step 4: Simplify right side
    520.21x = 338,946.15
  5. Step 5: Solve for x
    x = 338,946.15/520.21
  6. Step 6: Final answer
    x = 651.56

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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.