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Finding the Fourth Proportional to 676.46, 933.26 and 443.90

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Solution

The fourth proportional to 676.46, 933.26 and 443.90 is: 612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 933.26 = 443.90 : x
  2. Step 2: Convert to fraction form
    676.46/933.26 = 443.90/x
  3. Step 3: Cross multiply
    676.46x = 933.26 × 443.90
  4. Step 4: Simplify right side
    676.46x = 414,274.11
  5. Step 5: Solve for x
    x = 414,274.11/676.46
  6. Step 6: Final answer
    x = 612.41

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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.