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Finding the Fourth Proportional to 551.89, 828.04 and 263.13

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Solution

The fourth proportional to 551.89, 828.04 and 263.13 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.89 : 828.04 = 263.13 : x
  2. Step 2: Convert to fraction form
    551.89/828.04 = 263.13/x
  3. Step 3: Cross multiply
    551.89x = 828.04 × 263.13
  4. Step 4: Simplify right side
    551.89x = 217,878.03
  5. Step 5: Solve for x
    x = 217,878.03/551.89
  6. Step 6: Final answer
    x = 394.79

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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.