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Finding the Fourth Proportional to 632.94, 949.47 and 216.29

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Solution

The fourth proportional to 632.94, 949.47 and 216.29 is: 324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 949.47 = 216.29 : x
  2. Step 2: Convert to fraction form
    632.94/949.47 = 216.29/x
  3. Step 3: Cross multiply
    632.94x = 949.47 × 216.29
  4. Step 4: Simplify right side
    632.94x = 205,360.87
  5. Step 5: Solve for x
    x = 205,360.87/632.94
  6. Step 6: Final answer
    x = 324.46

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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.