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Finding the Fourth Proportional to 840.44, 1,260.62 and 255.45

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Solution

The fourth proportional to 840.44, 1,260.62 and 255.45 is: 383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.44 : 1,260.62 = 255.45 : x
  2. Step 2: Convert to fraction form
    840.44/1,260.62 = 255.45/x
  3. Step 3: Cross multiply
    840.44x = 1,260.62 × 255.45
  4. Step 4: Simplify right side
    840.44x = 322,024.10
  5. Step 5: Solve for x
    x = 322,024.10/840.44
  6. Step 6: Final answer
    x = 383.16

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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.