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Finding the Fourth Proportional to 598.67, 825.81 and 362.45

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Solution

The fourth proportional to 598.67, 825.81 and 362.45 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 825.81 = 362.45 : x
  2. Step 2: Convert to fraction form
    598.67/825.81 = 362.45/x
  3. Step 3: Cross multiply
    598.67x = 825.81 × 362.45
  4. Step 4: Simplify right side
    598.67x = 299,313.02
  5. Step 5: Solve for x
    x = 299,313.02/598.67
  6. Step 6: Final answer
    x = 499.96

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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.