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Finding the Fourth Proportional to 333.34, 459.41 and 295.15

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Solution

The fourth proportional to 333.34, 459.41 and 295.15 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.34 : 459.41 = 295.15 : x
  2. Step 2: Convert to fraction form
    333.34/459.41 = 295.15/x
  3. Step 3: Cross multiply
    333.34x = 459.41 × 295.15
  4. Step 4: Simplify right side
    333.34x = 135,594.86
  5. Step 5: Solve for x
    x = 135,594.86/333.34
  6. Step 6: Final answer
    x = 406.78

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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.