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Finding the Fourth Proportional to 536.05, 739.79 and 300.02

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Solution

The fourth proportional to 536.05, 739.79 and 300.02 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.05 : 739.79 = 300.02 : x
  2. Step 2: Convert to fraction form
    536.05/739.79 = 300.02/x
  3. Step 3: Cross multiply
    536.05x = 739.79 × 300.02
  4. Step 4: Simplify right side
    536.05x = 221,953.65
  5. Step 5: Solve for x
    x = 221,953.65/536.05
  6. Step 6: Final answer
    x = 414.05

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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.