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Finding the Fourth Proportional to 597.92, 825.41 and 401.57

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Solution

The fourth proportional to 597.92, 825.41 and 401.57 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 825.41 = 401.57 : x
  2. Step 2: Convert to fraction form
    597.92/825.41 = 401.57/x
  3. Step 3: Cross multiply
    597.92x = 825.41 × 401.57
  4. Step 4: Simplify right side
    597.92x = 331,459.89
  5. Step 5: Solve for x
    x = 331,459.89/597.92
  6. Step 6: Final answer
    x = 554.35

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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.