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Finding the Fourth Proportional to 344.85, 513.95 and 334.86

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Solution

The fourth proportional to 344.85, 513.95 and 334.86 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.85 : 513.95 = 334.86 : x
  2. Step 2: Convert to fraction form
    344.85/513.95 = 334.86/x
  3. Step 3: Cross multiply
    344.85x = 513.95 × 334.86
  4. Step 4: Simplify right side
    344.85x = 172,101.30
  5. Step 5: Solve for x
    x = 172,101.30/344.85
  6. Step 6: Final answer
    x = 499.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.