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Finding the Fourth Proportional to 669.98, 1,005.24 and 259.34

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Solution

The fourth proportional to 669.98, 1,005.24 and 259.34 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.98 : 1,005.24 = 259.34 : x
  2. Step 2: Convert to fraction form
    669.98/1,005.24 = 259.34/x
  3. Step 3: Cross multiply
    669.98x = 1,005.24 × 259.34
  4. Step 4: Simplify right side
    669.98x = 260,698.94
  5. Step 5: Solve for x
    x = 260,698.94/669.98
  6. Step 6: Final answer
    x = 389.11

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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.