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Finding the Fourth Proportional to 552.29, 762.03 and 316.22

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Solution

The fourth proportional to 552.29, 762.03 and 316.22 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.29 : 762.03 = 316.22 : x
  2. Step 2: Convert to fraction form
    552.29/762.03 = 316.22/x
  3. Step 3: Cross multiply
    552.29x = 762.03 × 316.22
  4. Step 4: Simplify right side
    552.29x = 240,965.32
  5. Step 5: Solve for x
    x = 240,965.32/552.29
  6. Step 6: Final answer
    x = 436.31

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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.