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Finding the Fourth Proportional to 461.63, 637.07 and 262.51

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Solution

The fourth proportional to 461.63, 637.07 and 262.51 is: 362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 637.07 = 262.51 : x
  2. Step 2: Convert to fraction form
    461.63/637.07 = 262.51/x
  3. Step 3: Cross multiply
    461.63x = 637.07 × 262.51
  4. Step 4: Simplify right side
    461.63x = 167,234.34
  5. Step 5: Solve for x
    x = 167,234.34/461.63
  6. Step 6: Final answer
    x = 362.27

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