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Finding the Fourth Proportional to 421.96, 633.02 and 248.92

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Solution

The fourth proportional to 421.96, 633.02 and 248.92 is: 373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.96 : 633.02 = 248.92 : x
  2. Step 2: Convert to fraction form
    421.96/633.02 = 248.92/x
  3. Step 3: Cross multiply
    421.96x = 633.02 × 248.92
  4. Step 4: Simplify right side
    421.96x = 157,571.34
  5. Step 5: Solve for x
    x = 157,571.34/421.96
  6. Step 6: Final answer
    x = 373.43

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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.