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Finding the Fourth Proportional to 326.50, 488.53 and 204.19

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Solution

The fourth proportional to 326.50, 488.53 and 204.19 is: 305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 488.53 = 204.19 : x
  2. Step 2: Convert to fraction form
    326.50/488.53 = 204.19/x
  3. Step 3: Cross multiply
    326.50x = 488.53 × 204.19
  4. Step 4: Simplify right side
    326.50x = 99,752.94
  5. Step 5: Solve for x
    x = 99,752.94/326.50
  6. Step 6: Final answer
    x = 305.52

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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.