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Finding the Fourth Proportional to 320.20, 441.30 and 315.72

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Solution

The fourth proportional to 320.20, 441.30 and 315.72 is: 435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 441.30 = 315.72 : x
  2. Step 2: Convert to fraction form
    320.20/441.30 = 315.72/x
  3. Step 3: Cross multiply
    320.20x = 441.30 × 315.72
  4. Step 4: Simplify right side
    320.20x = 139,327.24
  5. Step 5: Solve for x
    x = 139,327.24/320.20
  6. Step 6: Final answer
    x = 435.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.