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Finding the Fourth Proportional to 462.64, 638.65 and 305.37

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Solution

The fourth proportional to 462.64, 638.65 and 305.37 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 638.65 = 305.37 : x
  2. Step 2: Convert to fraction form
    462.64/638.65 = 305.37/x
  3. Step 3: Cross multiply
    462.64x = 638.65 × 305.37
  4. Step 4: Simplify right side
    462.64x = 195,021.36
  5. Step 5: Solve for x
    x = 195,021.36/462.64
  6. Step 6: Final answer
    x = 421.54

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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.