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Finding the Fourth Proportional to 676.67, 933.78 and 414.69

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Solution

The fourth proportional to 676.67, 933.78 and 414.69 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.67 : 933.78 = 414.69 : x
  2. Step 2: Convert to fraction form
    676.67/933.78 = 414.69/x
  3. Step 3: Cross multiply
    676.67x = 933.78 × 414.69
  4. Step 4: Simplify right side
    676.67x = 387,229.23
  5. Step 5: Solve for x
    x = 387,229.23/676.67
  6. Step 6: Final answer
    x = 572.26

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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.