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Finding the Fourth Proportional to 627.84, 942.06 and 384.23

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Solution

The fourth proportional to 627.84, 942.06 and 384.23 is: 576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 942.06 = 384.23 : x
  2. Step 2: Convert to fraction form
    627.84/942.06 = 384.23/x
  3. Step 3: Cross multiply
    627.84x = 942.06 × 384.23
  4. Step 4: Simplify right side
    627.84x = 361,963.00
  5. Step 5: Solve for x
    x = 361,963.00/627.84
  6. Step 6: Final answer
    x = 576.52

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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.