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Finding the Fourth Proportional to 676.35, 933.26 and 414.27

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Solution

The fourth proportional to 676.35, 933.26 and 414.27 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.35 : 933.26 = 414.27 : x
  2. Step 2: Convert to fraction form
    676.35/933.26 = 414.27/x
  3. Step 3: Cross multiply
    676.35x = 933.26 × 414.27
  4. Step 4: Simplify right side
    676.35x = 386,619.55
  5. Step 5: Solve for x
    x = 386,619.55/676.35
  6. Step 6: Final answer
    x = 571.63

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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.