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Finding the Fourth Proportional to 320.65, 481.43 and 312.46

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Solution

The fourth proportional to 320.65, 481.43 and 312.46 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.65 : 481.43 = 312.46 : x
  2. Step 2: Convert to fraction form
    320.65/481.43 = 312.46/x
  3. Step 3: Cross multiply
    320.65x = 481.43 × 312.46
  4. Step 4: Simplify right side
    320.65x = 150,427.62
  5. Step 5: Solve for x
    x = 150,427.62/320.65
  6. Step 6: Final answer
    x = 469.13

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