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Finding the Fourth Proportional to 629.20, 942.54 and 312.12

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Solution

The fourth proportional to 629.20, 942.54 and 312.12 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.20 : 942.54 = 312.12 : x
  2. Step 2: Convert to fraction form
    629.20/942.54 = 312.12/x
  3. Step 3: Cross multiply
    629.20x = 942.54 × 312.12
  4. Step 4: Simplify right side
    629.20x = 294,185.58
  5. Step 5: Solve for x
    x = 294,185.58/629.20
  6. Step 6: Final answer
    x = 467.55

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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.