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Finding the Fourth Proportional to 536.00, 739.50 and 299.91

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Solution

The fourth proportional to 536.00, 739.50 and 299.91 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.00 : 739.50 = 299.91 : x
  2. Step 2: Convert to fraction form
    536.00/739.50 = 299.91/x
  3. Step 3: Cross multiply
    536.00x = 739.50 × 299.91
  4. Step 4: Simplify right side
    536.00x = 221,778.25
  5. Step 5: Solve for x
    x = 221,778.25/536.00
  6. Step 6: Final answer
    x = 413.77

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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.