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Finding the Fourth Proportional to 552.27, 761.91 and 342.37

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Solution

The fourth proportional to 552.27, 761.91 and 342.37 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 761.91 = 342.37 : x
  2. Step 2: Convert to fraction form
    552.27/761.91 = 342.37/x
  3. Step 3: Cross multiply
    552.27x = 761.91 × 342.37
  4. Step 4: Simplify right side
    552.27x = 260,855.13
  5. Step 5: Solve for x
    x = 260,855.13/552.27
  6. Step 6: Final answer
    x = 472.33

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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.