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Finding the Fourth Proportional to 320.18, 439.02 and 288.96

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Solution

The fourth proportional to 320.18, 439.02 and 288.96 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.18 : 439.02 = 288.96 : x
  2. Step 2: Convert to fraction form
    320.18/439.02 = 288.96/x
  3. Step 3: Cross multiply
    320.18x = 439.02 × 288.96
  4. Step 4: Simplify right side
    320.18x = 126,859.22
  5. Step 5: Solve for x
    x = 126,859.22/320.18
  6. Step 6: Final answer
    x = 396.21

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Why These Related Problems?

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