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Finding the Fourth Proportional to 506.89, 699.16 and 310.50

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Solution

The fourth proportional to 506.89, 699.16 and 310.50 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 699.16 = 310.50 : x
  2. Step 2: Convert to fraction form
    506.89/699.16 = 310.50/x
  3. Step 3: Cross multiply
    506.89x = 699.16 × 310.50
  4. Step 4: Simplify right side
    506.89x = 217,089.18
  5. Step 5: Solve for x
    x = 217,089.18/506.89
  6. Step 6: Final answer
    x = 428.28

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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.