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Finding the Fourth Proportional to 674.68, 930.36 and 576.76

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Solution

The fourth proportional to 674.68, 930.36 and 576.76 is: 795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.68 : 930.36 = 576.76 : x
  2. Step 2: Convert to fraction form
    674.68/930.36 = 576.76/x
  3. Step 3: Cross multiply
    674.68x = 930.36 × 576.76
  4. Step 4: Simplify right side
    674.68x = 536,594.43
  5. Step 5: Solve for x
    x = 536,594.43/674.68
  6. Step 6: Final answer
    x = 795.33

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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.