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Finding the Fourth Proportional to 674.64, 1,012.10 and 235.94

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Solution

The fourth proportional to 674.64, 1,012.10 and 235.94 is: 353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.64 : 1,012.10 = 235.94 : x
  2. Step 2: Convert to fraction form
    674.64/1,012.10 = 235.94/x
  3. Step 3: Cross multiply
    674.64x = 1,012.10 × 235.94
  4. Step 4: Simplify right side
    674.64x = 238,788.63
  5. Step 5: Solve for x
    x = 238,788.63/674.64
  6. Step 6: Final answer
    x = 353.95

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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.