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Finding the Fourth Proportional to 533.90, 737.14 and 334.81

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Solution

The fourth proportional to 533.90, 737.14 and 334.81 is: 462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.90 : 737.14 = 334.81 : x
  2. Step 2: Convert to fraction form
    533.90/737.14 = 334.81/x
  3. Step 3: Cross multiply
    533.90x = 737.14 × 334.81
  4. Step 4: Simplify right side
    533.90x = 246,799.16
  5. Step 5: Solve for x
    x = 246,799.16/533.90
  6. Step 6: Final answer
    x = 462.26

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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.