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Finding the Fourth Proportional to 598.70, 825.96 and 362.54

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Solution

The fourth proportional to 598.70, 825.96 and 362.54 is: 500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 825.96 = 362.54 : x
  2. Step 2: Convert to fraction form
    598.70/825.96 = 362.54/x
  3. Step 3: Cross multiply
    598.70x = 825.96 × 362.54
  4. Step 4: Simplify right side
    598.70x = 299,443.54
  5. Step 5: Solve for x
    x = 299,443.54/598.70
  6. Step 6: Final answer
    x = 500.16

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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.