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Finding the Fourth Proportional to 521.85, 782.77 and 423.89

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Solution

The fourth proportional to 521.85, 782.77 and 423.89 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.85 : 782.77 = 423.89 : x
  2. Step 2: Convert to fraction form
    521.85/782.77 = 423.89/x
  3. Step 3: Cross multiply
    521.85x = 782.77 × 423.89
  4. Step 4: Simplify right side
    521.85x = 331,804.99
  5. Step 5: Solve for x
    x = 331,804.99/521.85
  6. Step 6: Final answer
    x = 635.83

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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.