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Finding the Fourth Proportional to 551.73, 761.49 and 412.55

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Solution

The fourth proportional to 551.73, 761.49 and 412.55 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.73 : 761.49 = 412.55 : x
  2. Step 2: Convert to fraction form
    551.73/761.49 = 412.55/x
  3. Step 3: Cross multiply
    551.73x = 761.49 × 412.55
  4. Step 4: Simplify right side
    551.73x = 314,146.83
  5. Step 5: Solve for x
    x = 314,146.83/551.73
  6. Step 6: Final answer
    x = 569.39

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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.