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Finding the Fourth Proportional to 674.12, 930.68 and 534.80

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Solution

The fourth proportional to 674.12, 930.68 and 534.80 is: 738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.12 : 930.68 = 534.80 : x
  2. Step 2: Convert to fraction form
    674.12/930.68 = 534.80/x
  3. Step 3: Cross multiply
    674.12x = 930.68 × 534.80
  4. Step 4: Simplify right side
    674.12x = 497,720.34
  5. Step 5: Solve for x
    x = 497,720.34/674.12
  6. Step 6: Final answer
    x = 738.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.