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Finding the Fourth Proportional to 529.67, 793.92 and 204.77

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Solution

The fourth proportional to 529.67, 793.92 and 204.77 is: 306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.67 : 793.92 = 204.77 : x
  2. Step 2: Convert to fraction form
    529.67/793.92 = 204.77/x
  3. Step 3: Cross multiply
    529.67x = 793.92 × 204.77
  4. Step 4: Simplify right side
    529.67x = 162,571.00
  5. Step 5: Solve for x
    x = 162,571.00/529.67
  6. Step 6: Final answer
    x = 306.93

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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.