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Finding the Fourth Proportional to 730.34, 1,095.31 and 319.37

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Solution

The fourth proportional to 730.34, 1,095.31 and 319.37 is: 478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.34 : 1,095.31 = 319.37 : x
  2. Step 2: Convert to fraction form
    730.34/1,095.31 = 319.37/x
  3. Step 3: Cross multiply
    730.34x = 1,095.31 × 319.37
  4. Step 4: Simplify right side
    730.34x = 349,809.15
  5. Step 5: Solve for x
    x = 349,809.15/730.34
  6. Step 6: Final answer
    x = 478.97

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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.