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Finding the Fourth Proportional to 535.88, 739.32 and 302.96

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Solution

The fourth proportional to 535.88, 739.32 and 302.96 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 739.32 = 302.96 : x
  2. Step 2: Convert to fraction form
    535.88/739.32 = 302.96/x
  3. Step 3: Cross multiply
    535.88x = 739.32 × 302.96
  4. Step 4: Simplify right side
    535.88x = 223,984.39
  5. Step 5: Solve for x
    x = 223,984.39/535.88
  6. Step 6: Final answer
    x = 417.97

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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.