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Finding the Fourth Proportional to 421.40, 631.22 and 267.24

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Solution

The fourth proportional to 421.40, 631.22 and 267.24 is: 400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.40 : 631.22 = 267.24 : x
  2. Step 2: Convert to fraction form
    421.40/631.22 = 267.24/x
  3. Step 3: Cross multiply
    421.40x = 631.22 × 267.24
  4. Step 4: Simplify right side
    421.40x = 168,687.23
  5. Step 5: Solve for x
    x = 168,687.23/421.40
  6. Step 6: Final answer
    x = 400.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.