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Finding the Fourth Proportional to 632.92, 873.49 and 367.46

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Solution

The fourth proportional to 632.92, 873.49 and 367.46 is: 507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.92 : 873.49 = 367.46 : x
  2. Step 2: Convert to fraction form
    632.92/873.49 = 367.46/x
  3. Step 3: Cross multiply
    632.92x = 873.49 × 367.46
  4. Step 4: Simplify right side
    632.92x = 320,972.64
  5. Step 5: Solve for x
    x = 320,972.64/632.92
  6. Step 6: Final answer
    x = 507.13

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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.