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Finding the Fourth Proportional to 676.08, 932.99 and 365.58

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Solution

The fourth proportional to 676.08, 932.99 and 365.58 is: 504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.08 : 932.99 = 365.58 : x
  2. Step 2: Convert to fraction form
    676.08/932.99 = 365.58/x
  3. Step 3: Cross multiply
    676.08x = 932.99 × 365.58
  4. Step 4: Simplify right side
    676.08x = 341,082.03
  5. Step 5: Solve for x
    x = 341,082.03/676.08
  6. Step 6: Final answer
    x = 504.50

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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.