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Finding the Fourth Proportional to 730.58, 1,096.29 and 319.77

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Solution

The fourth proportional to 730.58, 1,096.29 and 319.77 is: 479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.58 : 1,096.29 = 319.77 : x
  2. Step 2: Convert to fraction form
    730.58/1,096.29 = 319.77/x
  3. Step 3: Cross multiply
    730.58x = 1,096.29 × 319.77
  4. Step 4: Simplify right side
    730.58x = 350,560.65
  5. Step 5: Solve for x
    x = 350,560.65/730.58
  6. Step 6: Final answer
    x = 479.84

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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.