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Finding the Fourth Proportional to 507.57, 699.80 and 414.22

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Solution

The fourth proportional to 507.57, 699.80 and 414.22 is: 571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 699.80 = 414.22 : x
  2. Step 2: Convert to fraction form
    507.57/699.80 = 414.22/x
  3. Step 3: Cross multiply
    507.57x = 699.80 × 414.22
  4. Step 4: Simplify right side
    507.57x = 289,867.66
  5. Step 5: Solve for x
    x = 289,867.66/507.57
  6. Step 6: Final answer
    x = 571.09

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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.