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Finding the Fourth Proportional to 552.09, 762.03 and 342.30

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Solution

The fourth proportional to 552.09, 762.03 and 342.30 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.09 : 762.03 = 342.30 : x
  2. Step 2: Convert to fraction form
    552.09/762.03 = 342.30/x
  3. Step 3: Cross multiply
    552.09x = 762.03 × 342.30
  4. Step 4: Simplify right side
    552.09x = 260,842.87
  5. Step 5: Solve for x
    x = 260,842.87/552.09
  6. Step 6: Final answer
    x = 472.46

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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.