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Finding the Fourth Proportional to 552.71, 762.71 and 328.66

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Solution

The fourth proportional to 552.71, 762.71 and 328.66 is: 453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.71 : 762.71 = 328.66 : x
  2. Step 2: Convert to fraction form
    552.71/762.71 = 328.66/x
  3. Step 3: Cross multiply
    552.71x = 762.71 × 328.66
  4. Step 4: Simplify right side
    552.71x = 250,668.72
  5. Step 5: Solve for x
    x = 250,668.72/552.71
  6. Step 6: Final answer
    x = 453.52

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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.