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Finding the Fourth Proportional to 535.92, 739.54 and 303.05

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Solution

The fourth proportional to 535.92, 739.54 and 303.05 is: 418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.92 : 739.54 = 303.05 : x
  2. Step 2: Convert to fraction form
    535.92/739.54 = 303.05/x
  3. Step 3: Cross multiply
    535.92x = 739.54 × 303.05
  4. Step 4: Simplify right side
    535.92x = 224,114.66
  5. Step 5: Solve for x
    x = 224,114.66/535.92
  6. Step 6: Final answer
    x = 418.19

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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.