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Finding the Fourth Proportional to 552.34, 762.29 and 316.32

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Solution

The fourth proportional to 552.34, 762.29 and 316.32 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.34 : 762.29 = 316.32 : x
  2. Step 2: Convert to fraction form
    552.34/762.29 = 316.32/x
  3. Step 3: Cross multiply
    552.34x = 762.29 × 316.32
  4. Step 4: Simplify right side
    552.34x = 241,127.57
  5. Step 5: Solve for x
    x = 241,127.57/552.34
  6. Step 6: Final answer
    x = 436.56

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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.