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Finding the Fourth Proportional to 259.18, 389.48 and 257.76

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Solution

The fourth proportional to 259.18, 389.48 and 257.76 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.18 : 389.48 = 257.76 : x
  2. Step 2: Convert to fraction form
    259.18/389.48 = 257.76/x
  3. Step 3: Cross multiply
    259.18x = 389.48 × 257.76
  4. Step 4: Simplify right side
    259.18x = 100,392.36
  5. Step 5: Solve for x
    x = 100,392.36/259.18
  6. Step 6: Final answer
    x = 387.35

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Why These Related Problems?

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