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Finding the Fourth Proportional to 552.62, 762.41 and 356.06

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Solution

The fourth proportional to 552.62, 762.41 and 356.06 is: 491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.62 : 762.41 = 356.06 : x
  2. Step 2: Convert to fraction form
    552.62/762.41 = 356.06/x
  3. Step 3: Cross multiply
    552.62x = 762.41 × 356.06
  4. Step 4: Simplify right side
    552.62x = 271,466.50
  5. Step 5: Solve for x
    x = 271,466.50/552.62
  6. Step 6: Final answer
    x = 491.23

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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.