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Finding the Fourth Proportional to 505.92, 759.44 and 362.28

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Solution

The fourth proportional to 505.92, 759.44 and 362.28 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 759.44 = 362.28 : x
  2. Step 2: Convert to fraction form
    505.92/759.44 = 362.28/x
  3. Step 3: Cross multiply
    505.92x = 759.44 × 362.28
  4. Step 4: Simplify right side
    505.92x = 275,129.92
  5. Step 5: Solve for x
    x = 275,129.92/505.92
  6. Step 6: Final answer
    x = 543.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.