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Finding the Fourth Proportional to 421.24, 581.06 and 327.84

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Solution

The fourth proportional to 421.24, 581.06 and 327.84 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 581.06 = 327.84 : x
  2. Step 2: Convert to fraction form
    421.24/581.06 = 327.84/x
  3. Step 3: Cross multiply
    421.24x = 581.06 × 327.84
  4. Step 4: Simplify right side
    421.24x = 190,492.12
  5. Step 5: Solve for x
    x = 190,492.12/421.24
  6. Step 6: Final answer
    x = 452.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.