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Finding the Fourth Proportional to 627.55, 940.65 and 384.24

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Solution

The fourth proportional to 627.55, 940.65 and 384.24 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.55 : 940.65 = 384.24 : x
  2. Step 2: Convert to fraction form
    627.55/940.65 = 384.24/x
  3. Step 3: Cross multiply
    627.55x = 940.65 × 384.24
  4. Step 4: Simplify right side
    627.55x = 361,435.36
  5. Step 5: Solve for x
    x = 361,435.36/627.55
  6. Step 6: Final answer
    x = 575.95

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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.