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Finding the Fourth Proportional to 506.86, 699.59 and 310.53

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Solution

The fourth proportional to 506.86, 699.59 and 310.53 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 699.59 = 310.53 : x
  2. Step 2: Convert to fraction form
    506.86/699.59 = 310.53/x
  3. Step 3: Cross multiply
    506.86x = 699.59 × 310.53
  4. Step 4: Simplify right side
    506.86x = 217,245.34
  5. Step 5: Solve for x
    x = 217,245.34/506.86
  6. Step 6: Final answer
    x = 428.61

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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.