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Finding the Fourth Proportional to 552.82, 762.02 and 412.72

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Solution

The fourth proportional to 552.82, 762.02 and 412.72 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.82 : 762.02 = 412.72 : x
  2. Step 2: Convert to fraction form
    552.82/762.02 = 412.72/x
  3. Step 3: Cross multiply
    552.82x = 762.02 × 412.72
  4. Step 4: Simplify right side
    552.82x = 314,500.89
  5. Step 5: Solve for x
    x = 314,500.89/552.82
  6. Step 6: Final answer
    x = 568.90

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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.