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Finding the Fourth Proportional to 535.98, 739.66 and 303.10

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Solution

The fourth proportional to 535.98, 739.66 and 303.10 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.98 : 739.66 = 303.10 : x
  2. Step 2: Convert to fraction form
    535.98/739.66 = 303.10/x
  3. Step 3: Cross multiply
    535.98x = 739.66 × 303.10
  4. Step 4: Simplify right side
    535.98x = 224,189.43
  5. Step 5: Solve for x
    x = 224,189.43/535.98
  6. Step 6: Final answer
    x = 418.28

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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.