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Finding the Fourth Proportional to 730.52, 1,096.56 and 346.56

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Solution

The fourth proportional to 730.52, 1,096.56 and 346.56 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.52 : 1,096.56 = 346.56 : x
  2. Step 2: Convert to fraction form
    730.52/1,096.56 = 346.56/x
  3. Step 3: Cross multiply
    730.52x = 1,096.56 × 346.56
  4. Step 4: Simplify right side
    730.52x = 380,023.83
  5. Step 5: Solve for x
    x = 380,023.83/730.52
  6. Step 6: Final answer
    x = 520.21

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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.