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Finding the Fourth Proportional to 598.27, 825.93 and 362.26

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Solution

The fourth proportional to 598.27, 825.93 and 362.26 is: 500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.27 : 825.93 = 362.26 : x
  2. Step 2: Convert to fraction form
    598.27/825.93 = 362.26/x
  3. Step 3: Cross multiply
    598.27x = 825.93 × 362.26
  4. Step 4: Simplify right side
    598.27x = 299,201.40
  5. Step 5: Solve for x
    x = 299,201.40/598.27
  6. Step 6: Final answer
    x = 500.11

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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.