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Finding the Fourth Proportional to 465.94, 642.09 and 334.72

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Solution

The fourth proportional to 465.94, 642.09 and 334.72 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 642.09 = 334.72 : x
  2. Step 2: Convert to fraction form
    465.94/642.09 = 334.72/x
  3. Step 3: Cross multiply
    465.94x = 642.09 × 334.72
  4. Step 4: Simplify right side
    465.94x = 214,920.36
  5. Step 5: Solve for x
    x = 214,920.36/465.94
  6. Step 6: Final answer
    x = 461.26

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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.