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Finding the Fourth Proportional to 536.08, 739.70 and 300.01

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Solution

The fourth proportional to 536.08, 739.70 and 300.01 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.08 : 739.70 = 300.01 : x
  2. Step 2: Convert to fraction form
    536.08/739.70 = 300.01/x
  3. Step 3: Cross multiply
    536.08x = 739.70 × 300.01
  4. Step 4: Simplify right side
    536.08x = 221,917.40
  5. Step 5: Solve for x
    x = 221,917.40/536.08
  6. Step 6: Final answer
    x = 413.96

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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.