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Finding the Fourth Proportional to 602.23, 830.92 and 365.99

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Solution

The fourth proportional to 602.23, 830.92 and 365.99 is: 504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.23 : 830.92 = 365.99 : x
  2. Step 2: Convert to fraction form
    602.23/830.92 = 365.99/x
  3. Step 3: Cross multiply
    602.23x = 830.92 × 365.99
  4. Step 4: Simplify right side
    602.23x = 304,108.41
  5. Step 5: Solve for x
    x = 304,108.41/602.23
  6. Step 6: Final answer
    x = 504.97

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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.