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Finding the Fourth Proportional to 839.66, 1,259.37 and 223.32

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Solution

The fourth proportional to 839.66, 1,259.37 and 223.32 is: 334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.66 : 1,259.37 = 223.32 : x
  2. Step 2: Convert to fraction form
    839.66/1,259.37 = 223.32/x
  3. Step 3: Cross multiply
    839.66x = 1,259.37 × 223.32
  4. Step 4: Simplify right side
    839.66x = 281,242.51
  5. Step 5: Solve for x
    x = 281,242.51/839.66
  6. Step 6: Final answer
    x = 334.95

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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.