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Finding the Fourth Proportional to 648.21, 971.79 and 340.01

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Solution

The fourth proportional to 648.21, 971.79 and 340.01 is: 509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.21 : 971.79 = 340.01 : x
  2. Step 2: Convert to fraction form
    648.21/971.79 = 340.01/x
  3. Step 3: Cross multiply
    648.21x = 971.79 × 340.01
  4. Step 4: Simplify right side
    648.21x = 330,413.46
  5. Step 5: Solve for x
    x = 330,413.46/648.21
  6. Step 6: Final answer
    x = 509.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.