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Finding the Fourth Proportional to 676.86, 933.96 and 397.05

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Solution

The fourth proportional to 676.86, 933.96 and 397.05 is: 547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.86 : 933.96 = 397.05 : x
  2. Step 2: Convert to fraction form
    676.86/933.96 = 397.05/x
  3. Step 3: Cross multiply
    676.86x = 933.96 × 397.05
  4. Step 4: Simplify right side
    676.86x = 370,828.82
  5. Step 5: Solve for x
    x = 370,828.82/676.86
  6. Step 6: Final answer
    x = 547.87

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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.