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Finding the Fourth Proportional to 320.22, 443.62 and 312.66

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Solution

The fourth proportional to 320.22, 443.62 and 312.66 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 443.62 = 312.66 : x
  2. Step 2: Convert to fraction form
    320.22/443.62 = 312.66/x
  3. Step 3: Cross multiply
    320.22x = 443.62 × 312.66
  4. Step 4: Simplify right side
    320.22x = 138,700.67
  5. Step 5: Solve for x
    x = 138,700.67/320.22
  6. Step 6: Final answer
    x = 433.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.