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Finding the Fourth Proportional to 551.96, 761.94 and 355.48

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Solution

The fourth proportional to 551.96, 761.94 and 355.48 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.96 : 761.94 = 355.48 : x
  2. Step 2: Convert to fraction form
    551.96/761.94 = 355.48/x
  3. Step 3: Cross multiply
    551.96x = 761.94 × 355.48
  4. Step 4: Simplify right side
    551.96x = 270,854.43
  5. Step 5: Solve for x
    x = 270,854.43/551.96
  6. Step 6: Final answer
    x = 490.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.