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Finding the Fourth Proportional to 534.21, 737.22 and 294.95

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Solution

The fourth proportional to 534.21, 737.22 and 294.95 is: 407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 737.22 = 294.95 : x
  2. Step 2: Convert to fraction form
    534.21/737.22 = 294.95/x
  3. Step 3: Cross multiply
    534.21x = 737.22 × 294.95
  4. Step 4: Simplify right side
    534.21x = 217,439.35
  5. Step 5: Solve for x
    x = 217,439.35/534.21
  6. Step 6: Final answer
    x = 407.03

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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.