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Finding the Fourth Proportional to 790.26, 1,185.38 and 357.31

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Solution

The fourth proportional to 790.26, 1,185.38 and 357.31 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.26 : 1,185.38 = 357.31 : x
  2. Step 2: Convert to fraction form
    790.26/1,185.38 = 357.31/x
  3. Step 3: Cross multiply
    790.26x = 1,185.38 × 357.31
  4. Step 4: Simplify right side
    790.26x = 423,548.13
  5. Step 5: Solve for x
    x = 423,548.13/790.26
  6. Step 6: Final answer
    x = 535.96

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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.