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Finding the Fourth Proportional to 421.18, 631.33 and 305.33

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Solution

The fourth proportional to 421.18, 631.33 and 305.33 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.18 : 631.33 = 305.33 : x
  2. Step 2: Convert to fraction form
    421.18/631.33 = 305.33/x
  3. Step 3: Cross multiply
    421.18x = 631.33 × 305.33
  4. Step 4: Simplify right side
    421.18x = 192,760.07
  5. Step 5: Solve for x
    x = 192,760.07/421.18
  6. Step 6: Final answer
    x = 457.67

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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.