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Finding the Fourth Proportional to 780.24, 1,170.48 and 232.35

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Solution

The fourth proportional to 780.24, 1,170.48 and 232.35 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,170.48 = 232.35 : x
  2. Step 2: Convert to fraction form
    780.24/1,170.48 = 232.35/x
  3. Step 3: Cross multiply
    780.24x = 1,170.48 × 232.35
  4. Step 4: Simplify right side
    780.24x = 271,961.03
  5. Step 5: Solve for x
    x = 271,961.03/780.24
  6. Step 6: Final answer
    x = 348.56

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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.