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Finding the Fourth Proportional to 506.87, 760.71 and 263.46

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Solution

The fourth proportional to 506.87, 760.71 and 263.46 is: 395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.87 : 760.71 = 263.46 : x
  2. Step 2: Convert to fraction form
    506.87/760.71 = 263.46/x
  3. Step 3: Cross multiply
    506.87x = 760.71 × 263.46
  4. Step 4: Simplify right side
    506.87x = 200,416.66
  5. Step 5: Solve for x
    x = 200,416.66/506.87
  6. Step 6: Final answer
    x = 395.40

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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.