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Finding the Fourth Proportional to 1,235.44, 1,853.10 and 311.00

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Solution

The fourth proportional to 1,235.44, 1,853.10 and 311.00 is: 466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.44 : 1,853.10 = 311.00 : x
  2. Step 2: Convert to fraction form
    1,235.44/1,853.10 = 311.00/x
  3. Step 3: Cross multiply
    1,235.44x = 1,853.10 × 311.00
  4. Step 4: Simplify right side
    1,235.44x = 576,315.26
  5. Step 5: Solve for x
    x = 576,315.26/1,235.44
  6. Step 6: Final answer
    x = 466.48

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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.