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Finding the Fourth Proportional to 321.82, 483.09 and 288.16

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Solution

The fourth proportional to 321.82, 483.09 and 288.16 is: 432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.82 : 483.09 = 288.16 : x
  2. Step 2: Convert to fraction form
    321.82/483.09 = 288.16/x
  3. Step 3: Cross multiply
    321.82x = 483.09 × 288.16
  4. Step 4: Simplify right side
    321.82x = 139,207.21
  5. Step 5: Solve for x
    x = 139,207.21/321.82
  6. Step 6: Final answer
    x = 432.56

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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.