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Finding the Fourth Proportional to 670.26, 1,005.21 and 259.41

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Solution

The fourth proportional to 670.26, 1,005.21 and 259.41 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.26 : 1,005.21 = 259.41 : x
  2. Step 2: Convert to fraction form
    670.26/1,005.21 = 259.41/x
  3. Step 3: Cross multiply
    670.26x = 1,005.21 × 259.41
  4. Step 4: Simplify right side
    670.26x = 260,761.53
  5. Step 5: Solve for x
    x = 260,761.53/670.26
  6. Step 6: Final answer
    x = 389.05

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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.