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Finding the Fourth Proportional to 642.02, 962.61 and 329.87

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Solution

The fourth proportional to 642.02, 962.61 and 329.87 is: 494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 962.61 = 329.87 : x
  2. Step 2: Convert to fraction form
    642.02/962.61 = 329.87/x
  3. Step 3: Cross multiply
    642.02x = 962.61 × 329.87
  4. Step 4: Simplify right side
    642.02x = 317,529.70
  5. Step 5: Solve for x
    x = 317,529.70/642.02
  6. Step 6: Final answer
    x = 494.58

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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.