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Finding the Fourth Proportional to 507.69, 699.97 and 414.34

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Solution

The fourth proportional to 507.69, 699.97 and 414.34 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 699.97 = 414.34 : x
  2. Step 2: Convert to fraction form
    507.69/699.97 = 414.34/x
  3. Step 3: Cross multiply
    507.69x = 699.97 × 414.34
  4. Step 4: Simplify right side
    507.69x = 290,025.57
  5. Step 5: Solve for x
    x = 290,025.57/507.69
  6. Step 6: Final answer
    x = 571.27

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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.