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Finding the Fourth Proportional to 418.26, 577.59 and 414

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Solution

The fourth proportional to 418.26, 577.59 and 414 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 577.59 = 414 : x
  2. Step 2: Convert to fraction form
    418.26/577.59 = 414/x
  3. Step 3: Cross multiply
    418.26x = 577.59 × 414
  4. Step 4: Simplify right side
    418.26x = 239,122.26
  5. Step 5: Solve for x
    x = 239,122.26/418.26
  6. Step 6: Final answer
    x = 571.71

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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.