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Finding the Fourth Proportional to 465.68, 697.40 and 272.72

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Solution

The fourth proportional to 465.68, 697.40 and 272.72 is: 408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 697.40 = 272.72 : x
  2. Step 2: Convert to fraction form
    465.68/697.40 = 272.72/x
  3. Step 3: Cross multiply
    465.68x = 697.40 × 272.72
  4. Step 4: Simplify right side
    465.68x = 190,194.93
  5. Step 5: Solve for x
    x = 190,194.93/465.68
  6. Step 6: Final answer
    x = 408.42

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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.