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Finding the Fourth Proportional to 676.92, 933.72 and 444.06

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Solution

The fourth proportional to 676.92, 933.72 and 444.06 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 933.72 = 444.06 : x
  2. Step 2: Convert to fraction form
    676.92/933.72 = 444.06/x
  3. Step 3: Cross multiply
    676.92x = 933.72 × 444.06
  4. Step 4: Simplify right side
    676.92x = 414,627.70
  5. Step 5: Solve for x
    x = 414,627.70/676.92
  6. Step 6: Final answer
    x = 612.52

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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.