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Finding the Fourth Proportional to 535.01, 738.20 and 302.09

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Solution

The fourth proportional to 535.01, 738.20 and 302.09 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.01 : 738.20 = 302.09 : x
  2. Step 2: Convert to fraction form
    535.01/738.20 = 302.09/x
  3. Step 3: Cross multiply
    535.01x = 738.20 × 302.09
  4. Step 4: Simplify right side
    535.01x = 222,999.90
  5. Step 5: Solve for x
    x = 222,999.90/535.01
  6. Step 6: Final answer
    x = 416.82

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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.