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Finding the Fourth Proportional to 529.54, 793.88 and 204.72

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Solution

The fourth proportional to 529.54, 793.88 and 204.72 is: 306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.54 : 793.88 = 204.72 : x
  2. Step 2: Convert to fraction form
    529.54/793.88 = 204.72/x
  3. Step 3: Cross multiply
    529.54x = 793.88 × 204.72
  4. Step 4: Simplify right side
    529.54x = 162,523.11
  5. Step 5: Solve for x
    x = 162,523.11/529.54
  6. Step 6: Final answer
    x = 306.91

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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.