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Finding the Fourth Proportional to 534.21, 737.15 and 298.14

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Solution

The fourth proportional to 534.21, 737.15 and 298.14 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 737.15 = 298.14 : x
  2. Step 2: Convert to fraction form
    534.21/737.15 = 298.14/x
  3. Step 3: Cross multiply
    534.21x = 737.15 × 298.14
  4. Step 4: Simplify right side
    534.21x = 219,772.41
  5. Step 5: Solve for x
    x = 219,772.41/534.21
  6. Step 6: Final answer
    x = 411.40

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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.