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Finding the Fourth Proportional to 554.87, 832.25 and 311.33

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Solution

The fourth proportional to 554.87, 832.25 and 311.33 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.87 : 832.25 = 311.33 : x
  2. Step 2: Convert to fraction form
    554.87/832.25 = 311.33/x
  3. Step 3: Cross multiply
    554.87x = 832.25 × 311.33
  4. Step 4: Simplify right side
    554.87x = 259,101.01
  5. Step 5: Solve for x
    x = 259,101.01/554.87
  6. Step 6: Final answer
    x = 466.96

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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.