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Finding the Fourth Proportional to 458.09, 632.46 and 310.67

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Solution

The fourth proportional to 458.09, 632.46 and 310.67 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 632.46 = 310.67 : x
  2. Step 2: Convert to fraction form
    458.09/632.46 = 310.67/x
  3. Step 3: Cross multiply
    458.09x = 632.46 × 310.67
  4. Step 4: Simplify right side
    458.09x = 196,481.63
  5. Step 5: Solve for x
    x = 196,481.63/458.09
  6. Step 6: Final answer
    x = 428.92

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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.