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Finding the Fourth Proportional to 780.40, 1,170.24 and 232.44

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Solution

The fourth proportional to 780.40, 1,170.24 and 232.44 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.40 : 1,170.24 = 232.44 : x
  2. Step 2: Convert to fraction form
    780.40/1,170.24 = 232.44/x
  3. Step 3: Cross multiply
    780.40x = 1,170.24 × 232.44
  4. Step 4: Simplify right side
    780.40x = 272,010.59
  5. Step 5: Solve for x
    x = 272,010.59/780.40
  6. Step 6: Final answer
    x = 348.55

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Why These Related Problems?

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