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Finding the Fourth Proportional to 598.40, 825.92 and 377.64

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Solution

The fourth proportional to 598.40, 825.92 and 377.64 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 825.92 = 377.64 : x
  2. Step 2: Convert to fraction form
    598.40/825.92 = 377.64/x
  3. Step 3: Cross multiply
    598.40x = 825.92 × 377.64
  4. Step 4: Simplify right side
    598.40x = 311,898.54
  5. Step 5: Solve for x
    x = 311,898.54/598.40
  6. Step 6: Final answer
    x = 521.23

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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.