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Finding the Fourth Proportional to 598.15, 825.83 and 374.32

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Solution

The fourth proportional to 598.15, 825.83 and 374.32 is: 516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.15 : 825.83 = 374.32 : x
  2. Step 2: Convert to fraction form
    598.15/825.83 = 374.32/x
  3. Step 3: Cross multiply
    598.15x = 825.83 × 374.32
  4. Step 4: Simplify right side
    598.15x = 309,124.69
  5. Step 5: Solve for x
    x = 309,124.69/598.15
  6. Step 6: Final answer
    x = 516.80

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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.