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Finding the Fourth Proportional to 461.84, 637.44 and 275.43

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Solution

The fourth proportional to 461.84, 637.44 and 275.43 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.84 : 637.44 = 275.43 : x
  2. Step 2: Convert to fraction form
    461.84/637.44 = 275.43/x
  3. Step 3: Cross multiply
    461.84x = 637.44 × 275.43
  4. Step 4: Simplify right side
    461.84x = 175,571.46
  5. Step 5: Solve for x
    x = 175,571.46/461.84
  6. Step 6: Final answer
    x = 380.16

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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.