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Finding the Fourth Proportional to 551.43, 760.82 and 355.05

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Solution

The fourth proportional to 551.43, 760.82 and 355.05 is: 489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.43 : 760.82 = 355.05 : x
  2. Step 2: Convert to fraction form
    551.43/760.82 = 355.05/x
  3. Step 3: Cross multiply
    551.43x = 760.82 × 355.05
  4. Step 4: Simplify right side
    551.43x = 270,127.37
  5. Step 5: Solve for x
    x = 270,127.37/551.43
  6. Step 6: Final answer
    x = 489.87

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Why These Related Problems?

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