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Finding the Fourth Proportional to 629.37, 867 and 442.50

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Solution

The fourth proportional to 629.37, 867 and 442.50 is: 609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.37 : 867 = 442.50 : x
  2. Step 2: Convert to fraction form
    629.37/867 = 442.50/x
  3. Step 3: Cross multiply
    629.37x = 867 × 442.50
  4. Step 4: Simplify right side
    629.37x = 383,647.50
  5. Step 5: Solve for x
    x = 383,647.50/629.37
  6. Step 6: Final answer
    x = 609.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.