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Finding the Fourth Proportional to 320.19, 439.50 and 295.56

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Solution

The fourth proportional to 320.19, 439.50 and 295.56 is: 405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 439.50 = 295.56 : x
  2. Step 2: Convert to fraction form
    320.19/439.50 = 295.56/x
  3. Step 3: Cross multiply
    320.19x = 439.50 × 295.56
  4. Step 4: Simplify right side
    320.19x = 129,898.62
  5. Step 5: Solve for x
    x = 129,898.62/320.19
  6. Step 6: Final answer
    x = 405.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.