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Finding the Fourth Proportional to 506.90, 700.24 and 391.94

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Solution

The fourth proportional to 506.90, 700.24 and 391.94 is: 541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.90 : 700.24 = 391.94 : x
  2. Step 2: Convert to fraction form
    506.90/700.24 = 391.94/x
  3. Step 3: Cross multiply
    506.90x = 700.24 × 391.94
  4. Step 4: Simplify right side
    506.90x = 274,452.07
  5. Step 5: Solve for x
    x = 274,452.07/506.90
  6. Step 6: Final answer
    x = 541.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.