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Finding the Fourth Proportional to 889.72, 1,334.29 and 296.58

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Solution

The fourth proportional to 889.72, 1,334.29 and 296.58 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.72 : 1,334.29 = 296.58 : x
  2. Step 2: Convert to fraction form
    889.72/1,334.29 = 296.58/x
  3. Step 3: Cross multiply
    889.72x = 1,334.29 × 296.58
  4. Step 4: Simplify right side
    889.72x = 395,729.66
  5. Step 5: Solve for x
    x = 395,729.66/889.72
  6. Step 6: Final answer
    x = 444.78

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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.