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Finding the Fourth Proportional to 320.86, 443.51 and 295.35

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Solution

The fourth proportional to 320.86, 443.51 and 295.35 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.86 : 443.51 = 295.35 : x
  2. Step 2: Convert to fraction form
    320.86/443.51 = 295.35/x
  3. Step 3: Cross multiply
    320.86x = 443.51 × 295.35
  4. Step 4: Simplify right side
    320.86x = 130,990.68
  5. Step 5: Solve for x
    x = 130,990.68/320.86
  6. Step 6: Final answer
    x = 408.25

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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.