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Finding the Fourth Proportional to 642.02, 962.25 and 271.68

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Solution

The fourth proportional to 642.02, 962.25 and 271.68 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 962.25 = 271.68 : x
  2. Step 2: Convert to fraction form
    642.02/962.25 = 271.68/x
  3. Step 3: Cross multiply
    642.02x = 962.25 × 271.68
  4. Step 4: Simplify right side
    642.02x = 261,424.08
  5. Step 5: Solve for x
    x = 261,424.08/642.02
  6. Step 6: Final answer
    x = 407.19

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