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Finding the Fourth Proportional to 675.38, 1,013.34 and 242.84

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Solution

The fourth proportional to 675.38, 1,013.34 and 242.84 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 1,013.34 = 242.84 : x
  2. Step 2: Convert to fraction form
    675.38/1,013.34 = 242.84/x
  3. Step 3: Cross multiply
    675.38x = 1,013.34 × 242.84
  4. Step 4: Simplify right side
    675.38x = 246,079.49
  5. Step 5: Solve for x
    x = 246,079.49/675.38
  6. Step 6: Final answer
    x = 364.36

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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.