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Finding the Fourth Proportional to 936.56, 1,405.15 and 416.54

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Solution

The fourth proportional to 936.56, 1,405.15 and 416.54 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.56 : 1,405.15 = 416.54 : x
  2. Step 2: Convert to fraction form
    936.56/1,405.15 = 416.54/x
  3. Step 3: Cross multiply
    936.56x = 1,405.15 × 416.54
  4. Step 4: Simplify right side
    936.56x = 585,303.65
  5. Step 5: Solve for x
    x = 585,303.65/936.56
  6. Step 6: Final answer
    x = 624.95

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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.