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Finding the Fourth Proportional to 551.93, 761.56 and 355.42

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Solution

The fourth proportional to 551.93, 761.56 and 355.42 is: 490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.93 : 761.56 = 355.42 : x
  2. Step 2: Convert to fraction form
    551.93/761.56 = 355.42/x
  3. Step 3: Cross multiply
    551.93x = 761.56 × 355.42
  4. Step 4: Simplify right side
    551.93x = 270,668.07
  5. Step 5: Solve for x
    x = 270,668.07/551.93
  6. Step 6: Final answer
    x = 490.40

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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.