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Finding the Fourth Proportional to 323.76, 485.64 and 259.50

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Solution

The fourth proportional to 323.76, 485.64 and 259.50 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 485.64 = 259.50 : x
  2. Step 2: Convert to fraction form
    323.76/485.64 = 259.50/x
  3. Step 3: Cross multiply
    323.76x = 485.64 × 259.50
  4. Step 4: Simplify right side
    323.76x = 126,023.58
  5. Step 5: Solve for x
    x = 126,023.58/323.76
  6. Step 6: Final answer
    x = 389.25

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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.