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Finding the Fourth Proportional to 534.22, 737.24 and 313.16

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Solution

The fourth proportional to 534.22, 737.24 and 313.16 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.22 : 737.24 = 313.16 : x
  2. Step 2: Convert to fraction form
    534.22/737.24 = 313.16/x
  3. Step 3: Cross multiply
    534.22x = 737.24 × 313.16
  4. Step 4: Simplify right side
    534.22x = 230,873.02
  5. Step 5: Solve for x
    x = 230,873.02/534.22
  6. Step 6: Final answer
    x = 432.17

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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.