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Finding the Fourth Proportional to 597.94, 825.21 and 362.01

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Solution

The fourth proportional to 597.94, 825.21 and 362.01 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.94 : 825.21 = 362.01 : x
  2. Step 2: Convert to fraction form
    597.94/825.21 = 362.01/x
  3. Step 3: Cross multiply
    597.94x = 825.21 × 362.01
  4. Step 4: Simplify right side
    597.94x = 298,734.27
  5. Step 5: Solve for x
    x = 298,734.27/597.94
  6. Step 6: Final answer
    x = 499.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.