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Finding the Fourth Proportional to 461.96, 637.80 and 287.54

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Solution

The fourth proportional to 461.96, 637.80 and 287.54 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 637.80 = 287.54 : x
  2. Step 2: Convert to fraction form
    461.96/637.80 = 287.54/x
  3. Step 3: Cross multiply
    461.96x = 637.80 × 287.54
  4. Step 4: Simplify right side
    461.96x = 183,393.01
  5. Step 5: Solve for x
    x = 183,393.01/461.96
  6. Step 6: Final answer
    x = 396.99

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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.