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Finding the Fourth Proportional to 506.73, 760.34 and 379.53

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Solution

The fourth proportional to 506.73, 760.34 and 379.53 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 760.34 = 379.53 : x
  2. Step 2: Convert to fraction form
    506.73/760.34 = 379.53/x
  3. Step 3: Cross multiply
    506.73x = 760.34 × 379.53
  4. Step 4: Simplify right side
    506.73x = 288,569.94
  5. Step 5: Solve for x
    x = 288,569.94/506.73
  6. Step 6: Final answer
    x = 569.47

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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.