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Finding the Fourth Proportional to 598.23, 825.39 and 346.15

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Solution

The fourth proportional to 598.23, 825.39 and 346.15 is: 477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.23 : 825.39 = 346.15 : x
  2. Step 2: Convert to fraction form
    598.23/825.39 = 346.15/x
  3. Step 3: Cross multiply
    598.23x = 825.39 × 346.15
  4. Step 4: Simplify right side
    598.23x = 285,708.75
  5. Step 5: Solve for x
    x = 285,708.75/598.23
  6. Step 6: Final answer
    x = 477.59

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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.