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Finding the Fourth Proportional to 598.12, 825.60 and 535.84

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Solution

The fourth proportional to 598.12, 825.60 and 535.84 is: 739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.12 : 825.60 = 535.84 : x
  2. Step 2: Convert to fraction form
    598.12/825.60 = 535.84/x
  3. Step 3: Cross multiply
    598.12x = 825.60 × 535.84
  4. Step 4: Simplify right side
    598.12x = 442,389.50
  5. Step 5: Solve for x
    x = 442,389.50/598.12
  6. Step 6: Final answer
    x = 739.63

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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.