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Finding the Fourth Proportional to 552.64, 762.83 and 342.98

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Solution

The fourth proportional to 552.64, 762.83 and 342.98 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.64 : 762.83 = 342.98 : x
  2. Step 2: Convert to fraction form
    552.64/762.83 = 342.98/x
  3. Step 3: Cross multiply
    552.64x = 762.83 × 342.98
  4. Step 4: Simplify right side
    552.64x = 261,632.48
  5. Step 5: Solve for x
    x = 261,632.48/552.64
  6. Step 6: Final answer
    x = 473.43

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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.