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Finding the Fourth Proportional to 506.32, 758.25 and 343.51

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Solution

The fourth proportional to 506.32, 758.25 and 343.51 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 758.25 = 343.51 : x
  2. Step 2: Convert to fraction form
    506.32/758.25 = 343.51/x
  3. Step 3: Cross multiply
    506.32x = 758.25 × 343.51
  4. Step 4: Simplify right side
    506.32x = 260,466.46
  5. Step 5: Solve for x
    x = 260,466.46/506.32
  6. Step 6: Final answer
    x = 514.43

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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.