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Finding the Fourth Proportional to 674.84, 930.80 and 412.98

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Solution

The fourth proportional to 674.84, 930.80 and 412.98 is: 569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 930.80 = 412.98 : x
  2. Step 2: Convert to fraction form
    674.84/930.80 = 412.98/x
  3. Step 3: Cross multiply
    674.84x = 930.80 × 412.98
  4. Step 4: Simplify right side
    674.84x = 384,401.78
  5. Step 5: Solve for x
    x = 384,401.78/674.84
  6. Step 6: Final answer
    x = 569.62

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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.