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Finding the Fourth Proportional to 936.57, 1,404.71 and 359.31

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Solution

The fourth proportional to 936.57, 1,404.71 and 359.31 is: 538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.57 : 1,404.71 = 359.31 : x
  2. Step 2: Convert to fraction form
    936.57/1,404.71 = 359.31/x
  3. Step 3: Cross multiply
    936.57x = 1,404.71 × 359.31
  4. Step 4: Simplify right side
    936.57x = 504,726.35
  5. Step 5: Solve for x
    x = 504,726.35/936.57
  6. Step 6: Final answer
    x = 538.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.