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Finding the Fourth Proportional to 344.34, 517.41 and 298.80

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Solution

The fourth proportional to 344.34, 517.41 and 298.80 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 517.41 = 298.80 : x
  2. Step 2: Convert to fraction form
    344.34/517.41 = 298.80/x
  3. Step 3: Cross multiply
    344.34x = 517.41 × 298.80
  4. Step 4: Simplify right side
    344.34x = 154,602.11
  5. Step 5: Solve for x
    x = 154,602.11/344.34
  6. Step 6: Final answer
    x = 448.98

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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.