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Finding the Fourth Proportional to 463.09, 638.35 and 315.47

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Solution

The fourth proportional to 463.09, 638.35 and 315.47 is: 434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.09 : 638.35 = 315.47 : x
  2. Step 2: Convert to fraction form
    463.09/638.35 = 315.47/x
  3. Step 3: Cross multiply
    463.09x = 638.35 × 315.47
  4. Step 4: Simplify right side
    463.09x = 201,378.70
  5. Step 5: Solve for x
    x = 201,378.70/463.09
  6. Step 6: Final answer
    x = 434.86

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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.