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Finding the Fourth Proportional to 320.43, 480.63 and 104.00

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Solution

The fourth proportional to 320.43, 480.63 and 104.00 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.43 : 480.63 = 104.00 : x
  2. Step 2: Convert to fraction form
    320.43/480.63 = 104.00/x
  3. Step 3: Cross multiply
    320.43x = 480.63 × 104.00
  4. Step 4: Simplify right side
    320.43x = 49,983.12
  5. Step 5: Solve for x
    x = 49,983.12/320.43
  6. Step 6: Final answer
    x = 155.99

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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.