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Finding the Fourth Proportional to 535.82, 738.11 and 369.74

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Solution

The fourth proportional to 535.82, 738.11 and 369.74 is: 509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 738.11 = 369.74 : x
  2. Step 2: Convert to fraction form
    535.82/738.11 = 369.74/x
  3. Step 3: Cross multiply
    535.82x = 738.11 × 369.74
  4. Step 4: Simplify right side
    535.82x = 272,909.49
  5. Step 5: Solve for x
    x = 272,909.49/535.82
  6. Step 6: Final answer
    x = 509.34

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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.