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Finding the Fourth Proportional to 506.83, 699.43 and 310.35

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Solution

The fourth proportional to 506.83, 699.43 and 310.35 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.83 : 699.43 = 310.35 : x
  2. Step 2: Convert to fraction form
    506.83/699.43 = 310.35/x
  3. Step 3: Cross multiply
    506.83x = 699.43 × 310.35
  4. Step 4: Simplify right side
    506.83x = 217,068.10
  5. Step 5: Solve for x
    x = 217,068.10/506.83
  6. Step 6: Final answer
    x = 428.29

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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.