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Finding the Fourth Proportional to 536.25, 738.88 and 361.29

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Solution

The fourth proportional to 536.25, 738.88 and 361.29 is: 497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.25 : 738.88 = 361.29 : x
  2. Step 2: Convert to fraction form
    536.25/738.88 = 361.29/x
  3. Step 3: Cross multiply
    536.25x = 738.88 × 361.29
  4. Step 4: Simplify right side
    536.25x = 266,951.82
  5. Step 5: Solve for x
    x = 266,951.82/536.25
  6. Step 6: Final answer
    x = 497.81

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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.