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Finding the Fourth Proportional to 395.26, 590.56 and 381.66

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Solution

The fourth proportional to 395.26, 590.56 and 381.66 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.26 : 590.56 = 381.66 : x
  2. Step 2: Convert to fraction form
    395.26/590.56 = 381.66/x
  3. Step 3: Cross multiply
    395.26x = 590.56 × 381.66
  4. Step 4: Simplify right side
    395.26x = 225,393.13
  5. Step 5: Solve for x
    x = 225,393.13/395.26
  6. Step 6: Final answer
    x = 570.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.