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Finding the Fourth Proportional to 840.25, 1,260.45 and 223.95

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Solution

The fourth proportional to 840.25, 1,260.45 and 223.95 is: 335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.25 : 1,260.45 = 223.95 : x
  2. Step 2: Convert to fraction form
    840.25/1,260.45 = 223.95/x
  3. Step 3: Cross multiply
    840.25x = 1,260.45 × 223.95
  4. Step 4: Simplify right side
    840.25x = 282,276.66
  5. Step 5: Solve for x
    x = 282,276.66/840.25
  6. Step 6: Final answer
    x = 335.95

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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.