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Finding the Fourth Proportional to 421.97, 632.64 and 284.67

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Solution

The fourth proportional to 421.97, 632.64 and 284.67 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 632.64 = 284.67 : x
  2. Step 2: Convert to fraction form
    421.97/632.64 = 284.67/x
  3. Step 3: Cross multiply
    421.97x = 632.64 × 284.67
  4. Step 4: Simplify right side
    421.97x = 180,093.63
  5. Step 5: Solve for x
    x = 180,093.63/421.97
  6. Step 6: Final answer
    x = 426.80

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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.