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Finding the Fourth Proportional to 552.59, 762.57 and 342.68

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Solution

The fourth proportional to 552.59, 762.57 and 342.68 is: 472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.59 : 762.57 = 342.68 : x
  2. Step 2: Convert to fraction form
    552.59/762.57 = 342.68/x
  3. Step 3: Cross multiply
    552.59x = 762.57 × 342.68
  4. Step 4: Simplify right side
    552.59x = 261,319.39
  5. Step 5: Solve for x
    x = 261,319.39/552.59
  6. Step 6: Final answer
    x = 472.90

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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.