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Finding the Fourth Proportional to 676.60, 933.91 and 396.90

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Solution

The fourth proportional to 676.60, 933.91 and 396.90 is: 547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 933.91 = 396.90 : x
  2. Step 2: Convert to fraction form
    676.60/933.91 = 396.90/x
  3. Step 3: Cross multiply
    676.60x = 933.91 × 396.90
  4. Step 4: Simplify right side
    676.60x = 370,663.22
  5. Step 5: Solve for x
    x = 370,663.22/676.60
  6. Step 6: Final answer
    x = 547.83

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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.