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Finding the Fourth Proportional to 598.19, 825.80 and 399.35

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Solution

The fourth proportional to 598.19, 825.80 and 399.35 is: 551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.19 : 825.80 = 399.35 : x
  2. Step 2: Convert to fraction form
    598.19/825.80 = 399.35/x
  3. Step 3: Cross multiply
    598.19x = 825.80 × 399.35
  4. Step 4: Simplify right side
    598.19x = 329,777.10
  5. Step 5: Solve for x
    x = 329,777.10/598.19
  6. Step 6: Final answer
    x = 551.30

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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.