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Finding the Fourth Proportional to 676.31, 933.32 and 365.81

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Solution

The fourth proportional to 676.31, 933.32 and 365.81 is: 504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 933.32 = 365.81 : x
  2. Step 2: Convert to fraction form
    676.31/933.32 = 365.81/x
  3. Step 3: Cross multiply
    676.31x = 933.32 × 365.81
  4. Step 4: Simplify right side
    676.31x = 341,418.29
  5. Step 5: Solve for x
    x = 341,418.29/676.31
  6. Step 6: Final answer
    x = 504.82

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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.