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Finding the Fourth Proportional to 598.08, 825.24 and 401.24

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Solution

The fourth proportional to 598.08, 825.24 and 401.24 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 825.24 = 401.24 : x
  2. Step 2: Convert to fraction form
    598.08/825.24 = 401.24/x
  3. Step 3: Cross multiply
    598.08x = 825.24 × 401.24
  4. Step 4: Simplify right side
    598.08x = 331,119.30
  5. Step 5: Solve for x
    x = 331,119.30/598.08
  6. Step 6: Final answer
    x = 553.64

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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.