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Finding the Fourth Proportional to 533.15, 736.10 and 334.06

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Solution

The fourth proportional to 533.15, 736.10 and 334.06 is: 461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.15 : 736.10 = 334.06 : x
  2. Step 2: Convert to fraction form
    533.15/736.10 = 334.06/x
  3. Step 3: Cross multiply
    533.15x = 736.10 × 334.06
  4. Step 4: Simplify right side
    533.15x = 245,900.56
  5. Step 5: Solve for x
    x = 245,900.56/533.15
  6. Step 6: Final answer
    x = 461.23

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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.