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Finding the Fourth Proportional to 461.86, 637.32 and 262.64

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Solution

The fourth proportional to 461.86, 637.32 and 262.64 is: 362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.86 : 637.32 = 262.64 : x
  2. Step 2: Convert to fraction form
    461.86/637.32 = 262.64/x
  3. Step 3: Cross multiply
    461.86x = 637.32 × 262.64
  4. Step 4: Simplify right side
    461.86x = 167,385.72
  5. Step 5: Solve for x
    x = 167,385.72/461.86
  6. Step 6: Final answer
    x = 362.42

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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.