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Finding the Fourth Proportional to 414.26, 570.71 and 341.00

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Solution

The fourth proportional to 414.26, 570.71 and 341.00 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.26 : 570.71 = 341.00 : x
  2. Step 2: Convert to fraction form
    414.26/570.71 = 341.00/x
  3. Step 3: Cross multiply
    414.26x = 570.71 × 341.00
  4. Step 4: Simplify right side
    414.26x = 194,609.83
  5. Step 5: Solve for x
    x = 194,609.83/414.26
  6. Step 6: Final answer
    x = 469.78

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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.