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Finding the Fourth Proportional to 414.57, 572.34 and 309.54

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Solution

The fourth proportional to 414.57, 572.34 and 309.54 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 572.34 = 309.54 : x
  2. Step 2: Convert to fraction form
    414.57/572.34 = 309.54/x
  3. Step 3: Cross multiply
    414.57x = 572.34 × 309.54
  4. Step 4: Simplify right side
    414.57x = 177,162.12
  5. Step 5: Solve for x
    x = 177,162.12/414.57
  6. Step 6: Final answer
    x = 427.34

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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.