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Finding the Fourth Proportional to 427.12, 589.08 and 361.84

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Solution

The fourth proportional to 427.12, 589.08 and 361.84 is: 499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 589.08 = 361.84 : x
  2. Step 2: Convert to fraction form
    427.12/589.08 = 361.84/x
  3. Step 3: Cross multiply
    427.12x = 589.08 × 361.84
  4. Step 4: Simplify right side
    427.12x = 213,152.71
  5. Step 5: Solve for x
    x = 213,152.71/427.12
  6. Step 6: Final answer
    x = 499.05

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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.