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Finding the Fourth Proportional to 509.94, 703.47 and 300.09

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Solution

The fourth proportional to 509.94, 703.47 and 300.09 is: 413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 703.47 = 300.09 : x
  2. Step 2: Convert to fraction form
    509.94/703.47 = 300.09/x
  3. Step 3: Cross multiply
    509.94x = 703.47 × 300.09
  4. Step 4: Simplify right side
    509.94x = 211,104.31
  5. Step 5: Solve for x
    x = 211,104.31/509.94
  6. Step 6: Final answer
    x = 413.98

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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.