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Finding the Fourth Proportional to 597.97, 896.35 and 324.60

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Solution

The fourth proportional to 597.97, 896.35 and 324.60 is: 486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 896.35 = 324.60 : x
  2. Step 2: Convert to fraction form
    597.97/896.35 = 324.60/x
  3. Step 3: Cross multiply
    597.97x = 896.35 × 324.60
  4. Step 4: Simplify right side
    597.97x = 290,955.21
  5. Step 5: Solve for x
    x = 290,955.21/597.97
  6. Step 6: Final answer
    x = 486.57

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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.