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Finding the Fourth Proportional to 890.23, 1,335.41 and 342.41

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Solution

The fourth proportional to 890.23, 1,335.41 and 342.41 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.23 : 1,335.41 = 342.41 : x
  2. Step 2: Convert to fraction form
    890.23/1,335.41 = 342.41/x
  3. Step 3: Cross multiply
    890.23x = 1,335.41 × 342.41
  4. Step 4: Simplify right side
    890.23x = 457,264.44
  5. Step 5: Solve for x
    x = 457,264.44/890.23
  6. Step 6: Final answer
    x = 513.65

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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.