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Finding the Fourth Proportional to 598.07, 825.42 and 362.05

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Solution

The fourth proportional to 598.07, 825.42 and 362.05 is: 499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.07 : 825.42 = 362.05 : x
  2. Step 2: Convert to fraction form
    598.07/825.42 = 362.05/x
  3. Step 3: Cross multiply
    598.07x = 825.42 × 362.05
  4. Step 4: Simplify right side
    598.07x = 298,842.61
  5. Step 5: Solve for x
    x = 298,842.61/598.07
  6. Step 6: Final answer
    x = 499.68

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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.