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Finding the Fourth Proportional to 602.09, 830.49 and 369.21

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Solution

The fourth proportional to 602.09, 830.49 and 369.21 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.09 : 830.49 = 369.21 : x
  2. Step 2: Convert to fraction form
    602.09/830.49 = 369.21/x
  3. Step 3: Cross multiply
    602.09x = 830.49 × 369.21
  4. Step 4: Simplify right side
    602.09x = 306,625.21
  5. Step 5: Solve for x
    x = 306,625.21/602.09
  6. Step 6: Final answer
    x = 509.27

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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.