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Finding the Fourth Proportional to 597.97, 824.85 and 401.75

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Solution

The fourth proportional to 597.97, 824.85 and 401.75 is: 554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 824.85 = 401.75 : x
  2. Step 2: Convert to fraction form
    597.97/824.85 = 401.75/x
  3. Step 3: Cross multiply
    597.97x = 824.85 × 401.75
  4. Step 4: Simplify right side
    597.97x = 331,383.49
  5. Step 5: Solve for x
    x = 331,383.49/597.97
  6. Step 6: Final answer
    x = 554.18

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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.