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Finding the Fourth Proportional to 927.35, 1,390.99 and 311.07

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Solution

The fourth proportional to 927.35, 1,390.99 and 311.07 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.35 : 1,390.99 = 311.07 : x
  2. Step 2: Convert to fraction form
    927.35/1,390.99 = 311.07/x
  3. Step 3: Cross multiply
    927.35x = 1,390.99 × 311.07
  4. Step 4: Simplify right side
    927.35x = 432,695.26
  5. Step 5: Solve for x
    x = 432,695.26/927.35
  6. Step 6: Final answer
    x = 466.59

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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.