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Finding the Fourth Proportional to 552.11, 760.67 and 427.34

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Solution

The fourth proportional to 552.11, 760.67 and 427.34 is: 588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.11 : 760.67 = 427.34 : x
  2. Step 2: Convert to fraction form
    552.11/760.67 = 427.34/x
  3. Step 3: Cross multiply
    552.11x = 760.67 × 427.34
  4. Step 4: Simplify right side
    552.11x = 325,062.58
  5. Step 5: Solve for x
    x = 325,062.58/552.11
  6. Step 6: Final answer
    x = 588.76

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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.