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Finding the Fourth Proportional to 535.78, 739.41 and 302.98

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Solution

The fourth proportional to 535.78, 739.41 and 302.98 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 739.41 = 302.98 : x
  2. Step 2: Convert to fraction form
    535.78/739.41 = 302.98/x
  3. Step 3: Cross multiply
    535.78x = 739.41 × 302.98
  4. Step 4: Simplify right side
    535.78x = 224,026.44
  5. Step 5: Solve for x
    x = 224,026.44/535.78
  6. Step 6: Final answer
    x = 418.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.