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Finding the Fourth Proportional to 327.04, 487.80 and 302.64

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Solution

The fourth proportional to 327.04, 487.80 and 302.64 is: 451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 487.80 = 302.64 : x
  2. Step 2: Convert to fraction form
    327.04/487.80 = 302.64/x
  3. Step 3: Cross multiply
    327.04x = 487.80 × 302.64
  4. Step 4: Simplify right side
    327.04x = 147,627.79
  5. Step 5: Solve for x
    x = 147,627.79/327.04
  6. Step 6: Final answer
    x = 451.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.