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Finding the Fourth Proportional to 551.90, 761.64 and 355.78

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Solution

The fourth proportional to 551.90, 761.64 and 355.78 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 761.64 = 355.78 : x
  2. Step 2: Convert to fraction form
    551.90/761.64 = 355.78/x
  3. Step 3: Cross multiply
    551.90x = 761.64 × 355.78
  4. Step 4: Simplify right side
    551.90x = 270,976.28
  5. Step 5: Solve for x
    x = 270,976.28/551.90
  6. Step 6: Final answer
    x = 490.99

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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.