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Finding the Fourth Proportional to 551.94, 761.76 and 355.38

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Solution

The fourth proportional to 551.94, 761.76 and 355.38 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.94 : 761.76 = 355.38 : x
  2. Step 2: Convert to fraction form
    551.94/761.76 = 355.38/x
  3. Step 3: Cross multiply
    551.94x = 761.76 × 355.38
  4. Step 4: Simplify right side
    551.94x = 270,714.27
  5. Step 5: Solve for x
    x = 270,714.27/551.94
  6. Step 6: Final answer
    x = 490.48

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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.