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Finding the Fourth Proportional to 730.05, 1,095.29 and 405.65

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Solution

The fourth proportional to 730.05, 1,095.29 and 405.65 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.05 : 1,095.29 = 405.65 : x
  2. Step 2: Convert to fraction form
    730.05/1,095.29 = 405.65/x
  3. Step 3: Cross multiply
    730.05x = 1,095.29 × 405.65
  4. Step 4: Simplify right side
    730.05x = 444,304.39
  5. Step 5: Solve for x
    x = 444,304.39/730.05
  6. Step 6: Final answer
    x = 608.59

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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.