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Finding the Fourth Proportional to 790.06, 1,185.24 and 242.25

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Solution

The fourth proportional to 790.06, 1,185.24 and 242.25 is: 363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.06 : 1,185.24 = 242.25 : x
  2. Step 2: Convert to fraction form
    790.06/1,185.24 = 242.25/x
  3. Step 3: Cross multiply
    790.06x = 1,185.24 × 242.25
  4. Step 4: Simplify right side
    790.06x = 287,122.03
  5. Step 5: Solve for x
    x = 287,122.03/790.06
  6. Step 6: Final answer
    x = 363.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.