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Finding the Fourth Proportional to 466.16, 644.13 and 334.94

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Solution

The fourth proportional to 466.16, 644.13 and 334.94 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 644.13 = 334.94 : x
  2. Step 2: Convert to fraction form
    466.16/644.13 = 334.94/x
  3. Step 3: Cross multiply
    466.16x = 644.13 × 334.94
  4. Step 4: Simplify right side
    466.16x = 215,741.68
  5. Step 5: Solve for x
    x = 215,741.68/466.16
  6. Step 6: Final answer
    x = 462.81

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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.