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Finding the Fourth Proportional to 598.23, 825.83 and 399.39

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Solution

The fourth proportional to 598.23, 825.83 and 399.39 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.23 : 825.83 = 399.39 : x
  2. Step 2: Convert to fraction form
    598.23/825.83 = 399.39/x
  3. Step 3: Cross multiply
    598.23x = 825.83 × 399.39
  4. Step 4: Simplify right side
    598.23x = 329,828.24
  5. Step 5: Solve for x
    x = 329,828.24/598.23
  6. Step 6: Final answer
    x = 551.34

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Similar ratio
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1.5x scale

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.