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Finding the Fourth Proportional to 507.98, 699.68 and 360.34

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Solution

The fourth proportional to 507.98, 699.68 and 360.34 is: 496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 699.68 = 360.34 : x
  2. Step 2: Convert to fraction form
    507.98/699.68 = 360.34/x
  3. Step 3: Cross multiply
    507.98x = 699.68 × 360.34
  4. Step 4: Simplify right side
    507.98x = 252,122.69
  5. Step 5: Solve for x
    x = 252,122.69/507.98
  6. Step 6: Final answer
    x = 496.32

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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.