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Finding the Fourth Proportional to 598.01, 825.03 and 388.23

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Solution

The fourth proportional to 598.01, 825.03 and 388.23 is: 535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 825.03 = 388.23 : x
  2. Step 2: Convert to fraction form
    598.01/825.03 = 388.23/x
  3. Step 3: Cross multiply
    598.01x = 825.03 × 388.23
  4. Step 4: Simplify right side
    598.01x = 320,301.40
  5. Step 5: Solve for x
    x = 320,301.40/598.01
  6. Step 6: Final answer
    x = 535.62

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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.