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Finding the Fourth Proportional to 941.32, 1,412.06 and 324.78

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Solution

The fourth proportional to 941.32, 1,412.06 and 324.78 is: 487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.32 : 1,412.06 = 324.78 : x
  2. Step 2: Convert to fraction form
    941.32/1,412.06 = 324.78/x
  3. Step 3: Cross multiply
    941.32x = 1,412.06 × 324.78
  4. Step 4: Simplify right side
    941.32x = 458,608.85
  5. Step 5: Solve for x
    x = 458,608.85/941.32
  6. Step 6: Final answer
    x = 487.20

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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.