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Finding the Fourth Proportional to 457.56, 683.36 and 396

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Solution

The fourth proportional to 457.56, 683.36 and 396 is: 591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.56 : 683.36 = 396 : x
  2. Step 2: Convert to fraction form
    457.56/683.36 = 396/x
  3. Step 3: Cross multiply
    457.56x = 683.36 × 396
  4. Step 4: Simplify right side
    457.56x = 270,608.58
  5. Step 5: Solve for x
    x = 270,608.58/457.56
  6. Step 6: Final answer
    x = 591.42

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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.