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Finding the Fourth Proportional to 598.96, 892.44 and 534.28

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Solution

The fourth proportional to 598.96, 892.44 and 534.28 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 892.44 = 534.28 : x
  2. Step 2: Convert to fraction form
    598.96/892.44 = 534.28/x
  3. Step 3: Cross multiply
    598.96x = 892.44 × 534.28
  4. Step 4: Simplify right side
    598.96x = 476,812.84
  5. Step 5: Solve for x
    x = 476,812.84/598.96
  6. Step 6: Final answer
    x = 796.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.