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Finding the Fourth Proportional to 534.73, 737.92 and 313.64

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Solution

The fourth proportional to 534.73, 737.92 and 313.64 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.73 : 737.92 = 313.64 : x
  2. Step 2: Convert to fraction form
    534.73/737.92 = 313.64/x
  3. Step 3: Cross multiply
    534.73x = 737.92 × 313.64
  4. Step 4: Simplify right side
    534.73x = 231,441.23
  5. Step 5: Solve for x
    x = 231,441.23/534.73
  6. Step 6: Final answer
    x = 432.82

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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.