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Finding the Fourth Proportional to 945.76, 1,418.74 and 329.22

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Solution

The fourth proportional to 945.76, 1,418.74 and 329.22 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,418.74 = 329.22 : x
  2. Step 2: Convert to fraction form
    945.76/1,418.74 = 329.22/x
  3. Step 3: Cross multiply
    945.76x = 1,418.74 × 329.22
  4. Step 4: Simplify right side
    945.76x = 467,077.58
  5. Step 5: Solve for x
    x = 467,077.58/945.76
  6. Step 6: Final answer
    x = 493.86

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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.