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Finding the Fourth Proportional to 515.53, 772.03 and 428.32

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Solution

The fourth proportional to 515.53, 772.03 and 428.32 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.53 : 772.03 = 428.32 : x
  2. Step 2: Convert to fraction form
    515.53/772.03 = 428.32/x
  3. Step 3: Cross multiply
    515.53x = 772.03 × 428.32
  4. Step 4: Simplify right side
    515.53x = 330,675.89
  5. Step 5: Solve for x
    x = 330,675.89/515.53
  6. Step 6: Final answer
    x = 641.43

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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.