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Finding the Fourth Proportional to 320.20, 477.94 and 297.04

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Solution

The fourth proportional to 320.20, 477.94 and 297.04 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 477.94 = 297.04 : x
  2. Step 2: Convert to fraction form
    320.20/477.94 = 297.04/x
  3. Step 3: Cross multiply
    320.20x = 477.94 × 297.04
  4. Step 4: Simplify right side
    320.20x = 141,967.30
  5. Step 5: Solve for x
    x = 141,967.30/320.20
  6. Step 6: Final answer
    x = 443.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.