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Finding the Fourth Proportional to 642.48, 962.94 and 334.17

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Solution

The fourth proportional to 642.48, 962.94 and 334.17 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 962.94 = 334.17 : x
  2. Step 2: Convert to fraction form
    642.48/962.94 = 334.17/x
  3. Step 3: Cross multiply
    642.48x = 962.94 × 334.17
  4. Step 4: Simplify right side
    642.48x = 321,785.66
  5. Step 5: Solve for x
    x = 321,785.66/642.48
  6. Step 6: Final answer
    x = 500.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.