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Finding the Fourth Proportional to 597.49, 896.25 and 289.28

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Solution

The fourth proportional to 597.49, 896.25 and 289.28 is: 433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.49 : 896.25 = 289.28 : x
  2. Step 2: Convert to fraction form
    597.49/896.25 = 289.28/x
  3. Step 3: Cross multiply
    597.49x = 896.25 × 289.28
  4. Step 4: Simplify right side
    597.49x = 259,268.36
  5. Step 5: Solve for x
    x = 259,268.36/597.49
  6. Step 6: Final answer
    x = 433.93

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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.