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Finding the Fourth Proportional to 534.31, 737.32 and 313.24

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Solution

The fourth proportional to 534.31, 737.32 and 313.24 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.31 : 737.32 = 313.24 : x
  2. Step 2: Convert to fraction form
    534.31/737.32 = 313.24/x
  3. Step 3: Cross multiply
    534.31x = 737.32 × 313.24
  4. Step 4: Simplify right side
    534.31x = 230,958.21
  5. Step 5: Solve for x
    x = 230,958.21/534.31
  6. Step 6: Final answer
    x = 432.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.