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Finding the Fourth Proportional to 632.81, 873.28 and 412.14

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Solution

The fourth proportional to 632.81, 873.28 and 412.14 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.81 : 873.28 = 412.14 : x
  2. Step 2: Convert to fraction form
    632.81/873.28 = 412.14/x
  3. Step 3: Cross multiply
    632.81x = 873.28 × 412.14
  4. Step 4: Simplify right side
    632.81x = 359,912.50
  5. Step 5: Solve for x
    x = 359,912.50/632.81
  6. Step 6: Final answer
    x = 568.75

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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.