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Finding the Fourth Proportional to 551.64, 761.25 and 355.27

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Solution

The fourth proportional to 551.64, 761.25 and 355.27 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.64 : 761.25 = 355.27 : x
  2. Step 2: Convert to fraction form
    551.64/761.25 = 355.27/x
  3. Step 3: Cross multiply
    551.64x = 761.25 × 355.27
  4. Step 4: Simplify right side
    551.64x = 270,449.29
  5. Step 5: Solve for x
    x = 270,449.29/551.64
  6. Step 6: Final answer
    x = 490.26

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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.