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Finding the Fourth Proportional to 323.42, 485.67 and 288.77

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Solution

The fourth proportional to 323.42, 485.67 and 288.77 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.42 : 485.67 = 288.77 : x
  2. Step 2: Convert to fraction form
    323.42/485.67 = 288.77/x
  3. Step 3: Cross multiply
    323.42x = 485.67 × 288.77
  4. Step 4: Simplify right side
    323.42x = 140,246.93
  5. Step 5: Solve for x
    x = 140,246.93/323.42
  6. Step 6: Final answer
    x = 433.64

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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.