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Finding the Fourth Proportional to 675.06, 931.59 and 380.33

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Solution

The fourth proportional to 675.06, 931.59 and 380.33 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.06 : 931.59 = 380.33 : x
  2. Step 2: Convert to fraction form
    675.06/931.59 = 380.33/x
  3. Step 3: Cross multiply
    675.06x = 931.59 × 380.33
  4. Step 4: Simplify right side
    675.06x = 354,306.97
  5. Step 5: Solve for x
    x = 354,306.97/675.06
  6. Step 6: Final answer
    x = 524.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.