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Finding the Fourth Proportional to 674.04, 1,010.58 and 211.57

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Solution

The fourth proportional to 674.04, 1,010.58 and 211.57 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.04 : 1,010.58 = 211.57 : x
  2. Step 2: Convert to fraction form
    674.04/1,010.58 = 211.57/x
  3. Step 3: Cross multiply
    674.04x = 1,010.58 × 211.57
  4. Step 4: Simplify right side
    674.04x = 213,808.41
  5. Step 5: Solve for x
    x = 213,808.41/674.04
  6. Step 6: Final answer
    x = 317.20

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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.