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Finding the Fourth Proportional to 675.11, 931.55 and 380.31

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Solution

The fourth proportional to 675.11, 931.55 and 380.31 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.11 : 931.55 = 380.31 : x
  2. Step 2: Convert to fraction form
    675.11/931.55 = 380.31/x
  3. Step 3: Cross multiply
    675.11x = 931.55 × 380.31
  4. Step 4: Simplify right side
    675.11x = 354,275.88
  5. Step 5: Solve for x
    x = 354,275.88/675.11
  6. Step 6: Final answer
    x = 524.77

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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.