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Finding the Fourth Proportional to 320.09, 480.19 and 244.00

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Solution

The fourth proportional to 320.09, 480.19 and 244.00 is: 366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 480.19 = 244.00 : x
  2. Step 2: Convert to fraction form
    320.09/480.19 = 244.00/x
  3. Step 3: Cross multiply
    320.09x = 480.19 × 244.00
  4. Step 4: Simplify right side
    320.09x = 117,166.48
  5. Step 5: Solve for x
    x = 117,166.48/320.09
  6. Step 6: Final answer
    x = 366.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.