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Finding the Fourth Proportional to 441.84, 663.30 and 259.32

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Solution

The fourth proportional to 441.84, 663.30 and 259.32 is: 389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 663.30 = 259.32 : x
  2. Step 2: Convert to fraction form
    441.84/663.30 = 259.32/x
  3. Step 3: Cross multiply
    441.84x = 663.30 × 259.32
  4. Step 4: Simplify right side
    441.84x = 172,006.96
  5. Step 5: Solve for x
    x = 172,006.96/441.84
  6. Step 6: Final answer
    x = 389.30

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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.