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Finding the Fourth Proportional to 840.56, 1,260.72 and 224.33

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Solution

The fourth proportional to 840.56, 1,260.72 and 224.33 is: 336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.56 : 1,260.72 = 224.33 : x
  2. Step 2: Convert to fraction form
    840.56/1,260.72 = 224.33/x
  3. Step 3: Cross multiply
    840.56x = 1,260.72 × 224.33
  4. Step 4: Simplify right side
    840.56x = 282,811.01
  5. Step 5: Solve for x
    x = 282,811.01/840.56
  6. Step 6: Final answer
    x = 336.46

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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.