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Finding the Fourth Proportional to 508.83, 704.99 and 500.97

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Solution

The fourth proportional to 508.83, 704.99 and 500.97 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.83 : 704.99 = 500.97 : x
  2. Step 2: Convert to fraction form
    508.83/704.99 = 500.97/x
  3. Step 3: Cross multiply
    508.83x = 704.99 × 500.97
  4. Step 4: Simplify right side
    508.83x = 353,180.09
  5. Step 5: Solve for x
    x = 353,180.09/508.83
  6. Step 6: Final answer
    x = 694.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.