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Finding the Fourth Proportional to 730.20, 1,095.57 and 340.39

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Solution

The fourth proportional to 730.20, 1,095.57 and 340.39 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,095.57 = 340.39 : x
  2. Step 2: Convert to fraction form
    730.20/1,095.57 = 340.39/x
  3. Step 3: Cross multiply
    730.20x = 1,095.57 × 340.39
  4. Step 4: Simplify right side
    730.20x = 372,921.07
  5. Step 5: Solve for x
    x = 372,921.07/730.20
  6. Step 6: Final answer
    x = 510.71

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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.