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Finding the Fourth Proportional to 506.73, 754.47 and 504.30

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Solution

The fourth proportional to 506.73, 754.47 and 504.30 is: 750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 754.47 = 504.30 : x
  2. Step 2: Convert to fraction form
    506.73/754.47 = 504.30/x
  3. Step 3: Cross multiply
    506.73x = 754.47 × 504.30
  4. Step 4: Simplify right side
    506.73x = 380,479.22
  5. Step 5: Solve for x
    x = 380,479.22/506.73
  6. Step 6: Final answer
    x = 750.85

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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.