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Finding the Fourth Proportional to 597.28, 896.02 and 289.68

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Solution

The fourth proportional to 597.28, 896.02 and 289.68 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 896.02 = 289.68 : x
  2. Step 2: Convert to fraction form
    597.28/896.02 = 289.68/x
  3. Step 3: Cross multiply
    597.28x = 896.02 × 289.68
  4. Step 4: Simplify right side
    597.28x = 259,559.07
  5. Step 5: Solve for x
    x = 259,559.07/597.28
  6. Step 6: Final answer
    x = 434.57

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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.