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Finding the Fourth Proportional to 462.76, 638.60 and 315.44

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Solution

The fourth proportional to 462.76, 638.60 and 315.44 is: 435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.76 : 638.60 = 315.44 : x
  2. Step 2: Convert to fraction form
    462.76/638.60 = 315.44/x
  3. Step 3: Cross multiply
    462.76x = 638.60 × 315.44
  4. Step 4: Simplify right side
    462.76x = 201,439.98
  5. Step 5: Solve for x
    x = 201,439.98/462.76
  6. Step 6: Final answer
    x = 435.30

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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.