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Finding the Fourth Proportional to 507.20, 699.59 and 490.27

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Solution

The fourth proportional to 507.20, 699.59 and 490.27 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 699.59 = 490.27 : x
  2. Step 2: Convert to fraction form
    507.20/699.59 = 490.27/x
  3. Step 3: Cross multiply
    507.20x = 699.59 × 490.27
  4. Step 4: Simplify right side
    507.20x = 342,987.99
  5. Step 5: Solve for x
    x = 342,987.99/507.20
  6. Step 6: Final answer
    x = 676.24

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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.