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Finding the Fourth Proportional to 675.67, 932.43 and 365.17

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Solution

The fourth proportional to 675.67, 932.43 and 365.17 is: 503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.67 : 932.43 = 365.17 : x
  2. Step 2: Convert to fraction form
    675.67/932.43 = 365.17/x
  3. Step 3: Cross multiply
    675.67x = 932.43 × 365.17
  4. Step 4: Simplify right side
    675.67x = 340,496.88
  5. Step 5: Solve for x
    x = 340,496.88/675.67
  6. Step 6: Final answer
    x = 503.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.