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Finding the Fourth Proportional to 461.93, 637.41 and 262.76

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Solution

The fourth proportional to 461.93, 637.41 and 262.76 is: 362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 637.41 = 262.76 : x
  2. Step 2: Convert to fraction form
    461.93/637.41 = 262.76/x
  3. Step 3: Cross multiply
    461.93x = 637.41 × 262.76
  4. Step 4: Simplify right side
    461.93x = 167,485.85
  5. Step 5: Solve for x
    x = 167,485.85/461.93
  6. Step 6: Final answer
    x = 362.58

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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.