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Finding the Fourth Proportional to 596.28, 890.34 and 534.18

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Solution

The fourth proportional to 596.28, 890.34 and 534.18 is: 797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 890.34 = 534.18 : x
  2. Step 2: Convert to fraction form
    596.28/890.34 = 534.18/x
  3. Step 3: Cross multiply
    596.28x = 890.34 × 534.18
  4. Step 4: Simplify right side
    596.28x = 475,601.82
  5. Step 5: Solve for x
    x = 475,601.82/596.28
  6. Step 6: Final answer
    x = 797.61

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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.