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Finding the Fourth Proportional to 675.86, 1,013.42 and 350.42

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Solution

The fourth proportional to 675.86, 1,013.42 and 350.42 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.86 : 1,013.42 = 350.42 : x
  2. Step 2: Convert to fraction form
    675.86/1,013.42 = 350.42/x
  3. Step 3: Cross multiply
    675.86x = 1,013.42 × 350.42
  4. Step 4: Simplify right side
    675.86x = 355,122.64
  5. Step 5: Solve for x
    x = 355,122.64/675.86
  6. Step 6: Final answer
    x = 525.44

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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.