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Finding the Fourth Proportional to 259.63, 389.34 and 253.15

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Solution

The fourth proportional to 259.63, 389.34 and 253.15 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.63 : 389.34 = 253.15 : x
  2. Step 2: Convert to fraction form
    259.63/389.34 = 253.15/x
  3. Step 3: Cross multiply
    259.63x = 389.34 × 253.15
  4. Step 4: Simplify right side
    259.63x = 98,560.45
  5. Step 5: Solve for x
    x = 98,560.45/259.63
  6. Step 6: Final answer
    x = 379.62

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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.