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Finding the Fourth Proportional to 466.09, 642.32 and 334.87

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Solution

The fourth proportional to 466.09, 642.32 and 334.87 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 642.32 = 334.87 : x
  2. Step 2: Convert to fraction form
    466.09/642.32 = 334.87/x
  3. Step 3: Cross multiply
    466.09x = 642.32 × 334.87
  4. Step 4: Simplify right side
    466.09x = 215,093.70
  5. Step 5: Solve for x
    x = 215,093.70/466.09
  6. Step 6: Final answer
    x = 461.49

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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.