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Finding the Fourth Proportional to 552.99, 762.98 and 343.07

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Solution

The fourth proportional to 552.99, 762.98 and 343.07 is: 473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.99 : 762.98 = 343.07 : x
  2. Step 2: Convert to fraction form
    552.99/762.98 = 343.07/x
  3. Step 3: Cross multiply
    552.99x = 762.98 × 343.07
  4. Step 4: Simplify right side
    552.99x = 261,750.02
  5. Step 5: Solve for x
    x = 261,750.02/552.99
  6. Step 6: Final answer
    x = 473.34

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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.