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Finding the Fourth Proportional to 889.40, 1,333.80 and 264.53

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Solution

The fourth proportional to 889.40, 1,333.80 and 264.53 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.40 : 1,333.80 = 264.53 : x
  2. Step 2: Convert to fraction form
    889.40/1,333.80 = 264.53/x
  3. Step 3: Cross multiply
    889.40x = 1,333.80 × 264.53
  4. Step 4: Simplify right side
    889.40x = 352,833.45
  5. Step 5: Solve for x
    x = 352,833.45/889.40
  6. Step 6: Final answer
    x = 396.71

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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.