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Finding the Fourth Proportional to 589.36, 884.42 and 435.67

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Solution

The fourth proportional to 589.36, 884.42 and 435.67 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 884.42 = 435.67 : x
  2. Step 2: Convert to fraction form
    589.36/884.42 = 435.67/x
  3. Step 3: Cross multiply
    589.36x = 884.42 × 435.67
  4. Step 4: Simplify right side
    589.36x = 385,310.84
  5. Step 5: Solve for x
    x = 385,310.84/589.36
  6. Step 6: Final answer
    x = 653.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.