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Finding the Fourth Proportional to 344.65, 517.16 and 299.32

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Solution

The fourth proportional to 344.65, 517.16 and 299.32 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.65 : 517.16 = 299.32 : x
  2. Step 2: Convert to fraction form
    344.65/517.16 = 299.32/x
  3. Step 3: Cross multiply
    344.65x = 517.16 × 299.32
  4. Step 4: Simplify right side
    344.65x = 154,796.33
  5. Step 5: Solve for x
    x = 154,796.33/344.65
  6. Step 6: Final answer
    x = 449.14

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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.