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Finding the Fourth Proportional to 461.94, 637.50 and 287.34

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Solution

The fourth proportional to 461.94, 637.50 and 287.34 is: 396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 637.50 = 287.34 : x
  2. Step 2: Convert to fraction form
    461.94/637.50 = 287.34/x
  3. Step 3: Cross multiply
    461.94x = 637.50 × 287.34
  4. Step 4: Simplify right side
    461.94x = 183,179.25
  5. Step 5: Solve for x
    x = 183,179.25/461.94
  6. Step 6: Final answer
    x = 396.54

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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.