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Finding the Fourth Proportional to 320.01, 441.36 and 293.86

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Solution

The fourth proportional to 320.01, 441.36 and 293.86 is: 405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.01 : 441.36 = 293.86 : x
  2. Step 2: Convert to fraction form
    320.01/441.36 = 293.86/x
  3. Step 3: Cross multiply
    320.01x = 441.36 × 293.86
  4. Step 4: Simplify right side
    320.01x = 129,698.05
  5. Step 5: Solve for x
    x = 129,698.05/320.01
  6. Step 6: Final answer
    x = 405.29

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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.