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Finding the Fourth Proportional to 730.98, 1,096.47 and 292.21

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Solution

The fourth proportional to 730.98, 1,096.47 and 292.21 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.98 : 1,096.47 = 292.21 : x
  2. Step 2: Convert to fraction form
    730.98/1,096.47 = 292.21/x
  3. Step 3: Cross multiply
    730.98x = 1,096.47 × 292.21
  4. Step 4: Simplify right side
    730.98x = 320,396.76
  5. Step 5: Solve for x
    x = 320,396.76/730.98
  6. Step 6: Final answer
    x = 438.31

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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.