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Finding the Fourth Proportional to 506.90, 760.16 and 246.82

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Solution

The fourth proportional to 506.90, 760.16 and 246.82 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.90 : 760.16 = 246.82 : x
  2. Step 2: Convert to fraction form
    506.90/760.16 = 246.82/x
  3. Step 3: Cross multiply
    506.90x = 760.16 × 246.82
  4. Step 4: Simplify right side
    506.90x = 187,620.02
  5. Step 5: Solve for x
    x = 187,620.02/506.90
  6. Step 6: Final answer
    x = 370.14

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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.