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Finding the Fourth Proportional to 465.98, 642.16 and 334.76

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Solution

The fourth proportional to 465.98, 642.16 and 334.76 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.98 : 642.16 = 334.76 : x
  2. Step 2: Convert to fraction form
    465.98/642.16 = 334.76/x
  3. Step 3: Cross multiply
    465.98x = 642.16 × 334.76
  4. Step 4: Simplify right side
    465.98x = 214,969.48
  5. Step 5: Solve for x
    x = 214,969.48/465.98
  6. Step 6: Final answer
    x = 461.33

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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.