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Finding the Fourth Proportional to 459.46, 634.60 and 334.92

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Solution

The fourth proportional to 459.46, 634.60 and 334.92 is: 462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 634.60 = 334.92 : x
  2. Step 2: Convert to fraction form
    459.46/634.60 = 334.92/x
  3. Step 3: Cross multiply
    459.46x = 634.60 × 334.92
  4. Step 4: Simplify right side
    459.46x = 212,540.23
  5. Step 5: Solve for x
    x = 212,540.23/459.46
  6. Step 6: Final answer
    x = 462.59

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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.