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Finding the Fourth Proportional to 936.83, 1,405.31 and 416.59

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Solution

The fourth proportional to 936.83, 1,405.31 and 416.59 is: 624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.83 : 1,405.31 = 416.59 : x
  2. Step 2: Convert to fraction form
    936.83/1,405.31 = 416.59/x
  3. Step 3: Cross multiply
    936.83x = 1,405.31 × 416.59
  4. Step 4: Simplify right side
    936.83x = 585,438.09
  5. Step 5: Solve for x
    x = 585,438.09/936.83
  6. Step 6: Final answer
    x = 624.91

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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.