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Finding the Fourth Proportional to 534.97, 738.24 and 313.97

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Solution

The fourth proportional to 534.97, 738.24 and 313.97 is: 433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 738.24 = 313.97 : x
  2. Step 2: Convert to fraction form
    534.97/738.24 = 313.97/x
  3. Step 3: Cross multiply
    534.97x = 738.24 × 313.97
  4. Step 4: Simplify right side
    534.97x = 231,785.21
  5. Step 5: Solve for x
    x = 231,785.21/534.97
  6. Step 6: Final answer
    x = 433.27

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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.