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Finding the Fourth Proportional to 465.35, 641.93 and 268.72

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Solution

The fourth proportional to 465.35, 641.93 and 268.72 is: 370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 641.93 = 268.72 : x
  2. Step 2: Convert to fraction form
    465.35/641.93 = 268.72/x
  3. Step 3: Cross multiply
    465.35x = 641.93 × 268.72
  4. Step 4: Simplify right side
    465.35x = 172,496.48
  5. Step 5: Solve for x
    x = 172,496.48/465.35
  6. Step 6: Final answer
    x = 370.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.