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Finding the Fourth Proportional to 936.09, 1,404.30 and 319.78

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Solution

The fourth proportional to 936.09, 1,404.30 and 319.78 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.09 : 1,404.30 = 319.78 : x
  2. Step 2: Convert to fraction form
    936.09/1,404.30 = 319.78/x
  3. Step 3: Cross multiply
    936.09x = 1,404.30 × 319.78
  4. Step 4: Simplify right side
    936.09x = 449,058.43
  5. Step 5: Solve for x
    x = 449,058.43/936.09
  6. Step 6: Final answer
    x = 479.72

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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.