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Finding the Fourth Proportional to 552.74, 762.57 and 345.38

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Solution

The fourth proportional to 552.74, 762.57 and 345.38 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 762.57 = 345.38 : x
  2. Step 2: Convert to fraction form
    552.74/762.57 = 345.38/x
  3. Step 3: Cross multiply
    552.74x = 762.57 × 345.38
  4. Step 4: Simplify right side
    552.74x = 263,376.43
  5. Step 5: Solve for x
    x = 263,376.43/552.74
  6. Step 6: Final answer
    x = 476.49

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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.