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Finding the Fourth Proportional to 889.92, 1,334.72 and 304.86

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Solution

The fourth proportional to 889.92, 1,334.72 and 304.86 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,334.72 = 304.86 : x
  2. Step 2: Convert to fraction form
    889.92/1,334.72 = 304.86/x
  3. Step 3: Cross multiply
    889.92x = 1,334.72 × 304.86
  4. Step 4: Simplify right side
    889.92x = 406,902.74
  5. Step 5: Solve for x
    x = 406,902.74/889.92
  6. Step 6: Final answer
    x = 457.24

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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.