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Finding the Fourth Proportional to 535.72, 738.97 and 369.93

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Solution

The fourth proportional to 535.72, 738.97 and 369.93 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 738.97 = 369.93 : x
  2. Step 2: Convert to fraction form
    535.72/738.97 = 369.93/x
  3. Step 3: Cross multiply
    535.72x = 738.97 × 369.93
  4. Step 4: Simplify right side
    535.72x = 273,367.17
  5. Step 5: Solve for x
    x = 273,367.17/535.72
  6. Step 6: Final answer
    x = 510.28

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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.