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Finding the Fourth Proportional to 421.20, 640.04 and 421.20

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Solution

The fourth proportional to 421.20, 640.04 and 421.20 is: 640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.20 : 640.04 = 421.20 : x
  2. Step 2: Convert to fraction form
    421.20/640.04 = 421.20/x
  3. Step 3: Cross multiply
    421.20x = 640.04 × 421.20
  4. Step 4: Simplify right side
    421.20x = 269,582.74
  5. Step 5: Solve for x
    x = 269,582.74/421.20
  6. Step 6: Final answer
    x = 640.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.