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Finding the Fourth Proportional to 528.87, 793.40 and 204.21

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Solution

The fourth proportional to 528.87, 793.40 and 204.21 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.87 : 793.40 = 204.21 : x
  2. Step 2: Convert to fraction form
    528.87/793.40 = 204.21/x
  3. Step 3: Cross multiply
    528.87x = 793.40 × 204.21
  4. Step 4: Simplify right side
    528.87x = 162,015.23
  5. Step 5: Solve for x
    x = 162,015.23/528.87
  6. Step 6: Final answer
    x = 306.35

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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.