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Finding the Fourth Proportional to 535.21, 738.42 and 369.36

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Solution

The fourth proportional to 535.21, 738.42 and 369.36 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.21 : 738.42 = 369.36 : x
  2. Step 2: Convert to fraction form
    535.21/738.42 = 369.36/x
  3. Step 3: Cross multiply
    535.21x = 738.42 × 369.36
  4. Step 4: Simplify right side
    535.21x = 272,741.43
  5. Step 5: Solve for x
    x = 272,741.43/535.21
  6. Step 6: Final answer
    x = 509.60

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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.