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Finding the Fourth Proportional to 421.46, 632.16 and 174.48

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Solution

The fourth proportional to 421.46, 632.16 and 174.48 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 632.16 = 174.48 : x
  2. Step 2: Convert to fraction form
    421.46/632.16 = 174.48/x
  3. Step 3: Cross multiply
    421.46x = 632.16 × 174.48
  4. Step 4: Simplify right side
    421.46x = 110,299.28
  5. Step 5: Solve for x
    x = 110,299.28/421.46
  6. Step 6: Final answer
    x = 261.71

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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.