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Finding the Fourth Proportional to 675.77, 1,012.49 and 328.62

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Solution

The fourth proportional to 675.77, 1,012.49 and 328.62 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.77 : 1,012.49 = 328.62 : x
  2. Step 2: Convert to fraction form
    675.77/1,012.49 = 328.62/x
  3. Step 3: Cross multiply
    675.77x = 1,012.49 × 328.62
  4. Step 4: Simplify right side
    675.77x = 332,722.82
  5. Step 5: Solve for x
    x = 332,722.82/675.77
  6. Step 6: Final answer
    x = 492.36

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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.