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Finding the Fourth Proportional to 675.44, 1,013.38 and 242.63

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Solution

The fourth proportional to 675.44, 1,013.38 and 242.63 is: 364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.44 : 1,013.38 = 242.63 : x
  2. Step 2: Convert to fraction form
    675.44/1,013.38 = 242.63/x
  3. Step 3: Cross multiply
    675.44x = 1,013.38 × 242.63
  4. Step 4: Simplify right side
    675.44x = 245,870.72
  5. Step 5: Solve for x
    x = 245,870.72/675.44
  6. Step 6: Final answer
    x = 364.02

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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.