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Finding the Fourth Proportional to 674.48, 930.74 and 412.44

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Solution

The fourth proportional to 674.48, 930.74 and 412.44 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.48 : 930.74 = 412.44 : x
  2. Step 2: Convert to fraction form
    674.48/930.74 = 412.44/x
  3. Step 3: Cross multiply
    674.48x = 930.74 × 412.44
  4. Step 4: Simplify right side
    674.48x = 383,874.41
  5. Step 5: Solve for x
    x = 383,874.41/674.48
  6. Step 6: Final answer
    x = 569.14

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Why These Related Problems?

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