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Finding the Fourth Proportional to 506.33, 754.16 and 482.63

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Solution

The fourth proportional to 506.33, 754.16 and 482.63 is: 718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.33 : 754.16 = 482.63 : x
  2. Step 2: Convert to fraction form
    506.33/754.16 = 482.63/x
  3. Step 3: Cross multiply
    506.33x = 754.16 × 482.63
  4. Step 4: Simplify right side
    506.33x = 363,977.68
  5. Step 5: Solve for x
    x = 363,977.68/506.33
  6. Step 6: Final answer
    x = 718.86

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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.