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Finding the Fourth Proportional to 780.26, 1,170.40 and 232.44

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Solution

The fourth proportional to 780.26, 1,170.40 and 232.44 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,170.40 = 232.44 : x
  2. Step 2: Convert to fraction form
    780.26/1,170.40 = 232.44/x
  3. Step 3: Cross multiply
    780.26x = 1,170.40 × 232.44
  4. Step 4: Simplify right side
    780.26x = 272,053.12
  5. Step 5: Solve for x
    x = 272,053.12/780.26
  6. Step 6: Final answer
    x = 348.67

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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.