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Finding the Fourth Proportional to 507.60, 699.66 and 408.24

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Solution

The fourth proportional to 507.60, 699.66 and 408.24 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 699.66 = 408.24 : x
  2. Step 2: Convert to fraction form
    507.60/699.66 = 408.24/x
  3. Step 3: Cross multiply
    507.60x = 699.66 × 408.24
  4. Step 4: Simplify right side
    507.60x = 285,629.20
  5. Step 5: Solve for x
    x = 285,629.20/507.60
  6. Step 6: Final answer
    x = 562.71

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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.