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Finding the Fourth Proportional to 598.21, 825.21 and 377.08

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Solution

The fourth proportional to 598.21, 825.21 and 377.08 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.21 : 825.21 = 377.08 : x
  2. Step 2: Convert to fraction form
    598.21/825.21 = 377.08/x
  3. Step 3: Cross multiply
    598.21x = 825.21 × 377.08
  4. Step 4: Simplify right side
    598.21x = 311,168.12
  5. Step 5: Solve for x
    x = 311,168.12/598.21
  6. Step 6: Final answer
    x = 520.17

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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.