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Finding the Fourth Proportional to 505.69, 756.49 and 343.04

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Solution

The fourth proportional to 505.69, 756.49 and 343.04 is: 513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 756.49 = 343.04 : x
  2. Step 2: Convert to fraction form
    505.69/756.49 = 343.04/x
  3. Step 3: Cross multiply
    505.69x = 756.49 × 343.04
  4. Step 4: Simplify right side
    505.69x = 259,502.33
  5. Step 5: Solve for x
    x = 259,502.33/505.69
  6. Step 6: Final answer
    x = 513.16

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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.