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Finding the Fourth Proportional to 551.96, 826.85 and 291.57

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Solution

The fourth proportional to 551.96, 826.85 and 291.57 is: 436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.96 : 826.85 = 291.57 : x
  2. Step 2: Convert to fraction form
    551.96/826.85 = 291.57/x
  3. Step 3: Cross multiply
    551.96x = 826.85 × 291.57
  4. Step 4: Simplify right side
    551.96x = 241,084.65
  5. Step 5: Solve for x
    x = 241,084.65/551.96
  6. Step 6: Final answer
    x = 436.78

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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.