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Finding the Fourth Proportional to 627.92, 942.78 and 384.92

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Solution

The fourth proportional to 627.92, 942.78 and 384.92 is: 577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 942.78 = 384.92 : x
  2. Step 2: Convert to fraction form
    627.92/942.78 = 384.92/x
  3. Step 3: Cross multiply
    627.92x = 942.78 × 384.92
  4. Step 4: Simplify right side
    627.92x = 362,894.88
  5. Step 5: Solve for x
    x = 362,894.88/627.92
  6. Step 6: Final answer
    x = 577.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.