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Finding the Fourth Proportional to 414.23, 571.52 and 257

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Solution

The fourth proportional to 414.23, 571.52 and 257 is: 354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.23 : 571.52 = 257 : x
  2. Step 2: Convert to fraction form
    414.23/571.52 = 257/x
  3. Step 3: Cross multiply
    414.23x = 571.52 × 257
  4. Step 4: Simplify right side
    414.23x = 146,881.28
  5. Step 5: Solve for x
    x = 146,881.28/414.23
  6. Step 6: Final answer
    x = 354.59

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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.