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Finding the Fourth Proportional to 535.17, 738.21 and 369.09

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Solution

The fourth proportional to 535.17, 738.21 and 369.09 is: 509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.17 : 738.21 = 369.09 : x
  2. Step 2: Convert to fraction form
    535.17/738.21 = 369.09/x
  3. Step 3: Cross multiply
    535.17x = 738.21 × 369.09
  4. Step 4: Simplify right side
    535.17x = 272,465.93
  5. Step 5: Solve for x
    x = 272,465.93/535.17
  6. Step 6: Final answer
    x = 509.12

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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.