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Finding the Fourth Proportional to 442.01, 662.51 and 259.56

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Solution

The fourth proportional to 442.01, 662.51 and 259.56 is: 389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.01 : 662.51 = 259.56 : x
  2. Step 2: Convert to fraction form
    442.01/662.51 = 259.56/x
  3. Step 3: Cross multiply
    442.01x = 662.51 × 259.56
  4. Step 4: Simplify right side
    442.01x = 171,961.74
  5. Step 5: Solve for x
    x = 171,961.74/442.01
  6. Step 6: Final answer
    x = 389.04

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