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Finding the Fourth Proportional to 730.14, 1,095.21 and 364.56

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Solution

The fourth proportional to 730.14, 1,095.21 and 364.56 is: 546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.14 : 1,095.21 = 364.56 : x
  2. Step 2: Convert to fraction form
    730.14/1,095.21 = 364.56/x
  3. Step 3: Cross multiply
    730.14x = 1,095.21 × 364.56
  4. Step 4: Simplify right side
    730.14x = 399,269.76
  5. Step 5: Solve for x
    x = 399,269.76/730.14
  6. Step 6: Final answer
    x = 546.84

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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.