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Finding the Fourth Proportional to 507.96, 701.52 and 382.26

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Solution

The fourth proportional to 507.96, 701.52 and 382.26 is: 527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 701.52 = 382.26 : x
  2. Step 2: Convert to fraction form
    507.96/701.52 = 382.26/x
  3. Step 3: Cross multiply
    507.96x = 701.52 × 382.26
  4. Step 4: Simplify right side
    507.96x = 268,163.04
  5. Step 5: Solve for x
    x = 268,163.04/507.96
  6. Step 6: Final answer
    x = 527.92

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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.