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Finding the Fourth Proportional to 467.46, 644.40 and 334.86

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Solution

The fourth proportional to 467.46, 644.40 and 334.86 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 644.40 = 334.86 : x
  2. Step 2: Convert to fraction form
    467.46/644.40 = 334.86/x
  3. Step 3: Cross multiply
    467.46x = 644.40 × 334.86
  4. Step 4: Simplify right side
    467.46x = 215,783.78
  5. Step 5: Solve for x
    x = 215,783.78/467.46
  6. Step 6: Final answer
    x = 461.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.