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Finding the Fourth Proportional to 676.81, 933.96 and 397.09

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Solution

The fourth proportional to 676.81, 933.96 and 397.09 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.81 : 933.96 = 397.09 : x
  2. Step 2: Convert to fraction form
    676.81/933.96 = 397.09/x
  3. Step 3: Cross multiply
    676.81x = 933.96 × 397.09
  4. Step 4: Simplify right side
    676.81x = 370,866.18
  5. Step 5: Solve for x
    x = 370,866.18/676.81
  6. Step 6: Final answer
    x = 547.96

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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.