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Finding the Fourth Proportional to 386.46, 533.52 and 334.08

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Solution

The fourth proportional to 386.46, 533.52 and 334.08 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 533.52 = 334.08 : x
  2. Step 2: Convert to fraction form
    386.46/533.52 = 334.08/x
  3. Step 3: Cross multiply
    386.46x = 533.52 × 334.08
  4. Step 4: Simplify right side
    386.46x = 178,238.36
  5. Step 5: Solve for x
    x = 178,238.36/386.46
  6. Step 6: Final answer
    x = 461.21

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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.