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Finding the Fourth Proportional to 642.18, 962.01 and 334.23

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Solution

The fourth proportional to 642.18, 962.01 and 334.23 is: 500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.18 : 962.01 = 334.23 : x
  2. Step 2: Convert to fraction form
    642.18/962.01 = 334.23/x
  3. Step 3: Cross multiply
    642.18x = 962.01 × 334.23
  4. Step 4: Simplify right side
    642.18x = 321,532.60
  5. Step 5: Solve for x
    x = 321,532.60/642.18
  6. Step 6: Final answer
    x = 500.69

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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.