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Finding the Fourth Proportional to 598.01, 825.54 and 401.84

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Solution

The fourth proportional to 598.01, 825.54 and 401.84 is: 554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 825.54 = 401.84 : x
  2. Step 2: Convert to fraction form
    598.01/825.54 = 401.84/x
  3. Step 3: Cross multiply
    598.01x = 825.54 × 401.84
  4. Step 4: Simplify right side
    598.01x = 331,734.99
  5. Step 5: Solve for x
    x = 331,734.99/598.01
  6. Step 6: Final answer
    x = 554.73

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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.