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Finding the Fourth Proportional to 552.46, 762.42 and 328.45

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Solution

The fourth proportional to 552.46, 762.42 and 328.45 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.46 : 762.42 = 328.45 : x
  2. Step 2: Convert to fraction form
    552.46/762.42 = 328.45/x
  3. Step 3: Cross multiply
    552.46x = 762.42 × 328.45
  4. Step 4: Simplify right side
    552.46x = 250,416.85
  5. Step 5: Solve for x
    x = 250,416.85/552.46
  6. Step 6: Final answer
    x = 453.28

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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.