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Finding the Fourth Proportional to 632.90, 873.75 and 444.14

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Solution

The fourth proportional to 632.90, 873.75 and 444.14 is: 613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.90 : 873.75 = 444.14 : x
  2. Step 2: Convert to fraction form
    632.90/873.75 = 444.14/x
  3. Step 3: Cross multiply
    632.90x = 873.75 × 444.14
  4. Step 4: Simplify right side
    632.90x = 388,067.33
  5. Step 5: Solve for x
    x = 388,067.33/632.90
  6. Step 6: Final answer
    x = 613.16

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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.