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Finding the Fourth Proportional to 598.08, 825.33 and 377.08

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Solution

The fourth proportional to 598.08, 825.33 and 377.08 is: 520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 825.33 = 377.08 : x
  2. Step 2: Convert to fraction form
    598.08/825.33 = 377.08/x
  3. Step 3: Cross multiply
    598.08x = 825.33 × 377.08
  4. Step 4: Simplify right side
    598.08x = 311,215.44
  5. Step 5: Solve for x
    x = 311,215.44/598.08
  6. Step 6: Final answer
    x = 520.36

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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.