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Finding the Fourth Proportional to 458.38, 632.82 and 311.23

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Solution

The fourth proportional to 458.38, 632.82 and 311.23 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.38 : 632.82 = 311.23 : x
  2. Step 2: Convert to fraction form
    458.38/632.82 = 311.23/x
  3. Step 3: Cross multiply
    458.38x = 632.82 × 311.23
  4. Step 4: Simplify right side
    458.38x = 196,952.57
  5. Step 5: Solve for x
    x = 196,952.57/458.38
  6. Step 6: Final answer
    x = 429.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.