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Finding the Fourth Proportional to 889.48, 1,334.24 and 304.49

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Solution

The fourth proportional to 889.48, 1,334.24 and 304.49 is: 456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.48 : 1,334.24 = 304.49 : x
  2. Step 2: Convert to fraction form
    889.48/1,334.24 = 304.49/x
  3. Step 3: Cross multiply
    889.48x = 1,334.24 × 304.49
  4. Step 4: Simplify right side
    889.48x = 406,265.69
  5. Step 5: Solve for x
    x = 406,265.69/889.48
  6. Step 6: Final answer
    x = 456.74

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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.