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Finding the Fourth Proportional to 770.43, 1,155.30 and 359.69

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Solution

The fourth proportional to 770.43, 1,155.30 and 359.69 is: 539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.43 : 1,155.30 = 359.69 : x
  2. Step 2: Convert to fraction form
    770.43/1,155.30 = 359.69/x
  3. Step 3: Cross multiply
    770.43x = 1,155.30 × 359.69
  4. Step 4: Simplify right side
    770.43x = 415,542.73
  5. Step 5: Solve for x
    x = 415,542.73/770.43
  6. Step 6: Final answer
    x = 539.37

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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.