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Finding the Fourth Proportional to 597.66, 896.35 and 289.36

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Solution

The fourth proportional to 597.66, 896.35 and 289.36 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 896.35 = 289.36 : x
  2. Step 2: Convert to fraction form
    597.66/896.35 = 289.36/x
  3. Step 3: Cross multiply
    597.66x = 896.35 × 289.36
  4. Step 4: Simplify right side
    597.66x = 259,367.84
  5. Step 5: Solve for x
    x = 259,367.84/597.66
  6. Step 6: Final answer
    x = 433.97

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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.