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Finding the Fourth Proportional to 675.72, 1,012.12 and 328.33

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Solution

The fourth proportional to 675.72, 1,012.12 and 328.33 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 1,012.12 = 328.33 : x
  2. Step 2: Convert to fraction form
    675.72/1,012.12 = 328.33/x
  3. Step 3: Cross multiply
    675.72x = 1,012.12 × 328.33
  4. Step 4: Simplify right side
    675.72x = 332,302.66
  5. Step 5: Solve for x
    x = 332,302.66/675.72
  6. Step 6: Final answer
    x = 491.77

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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.