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Finding the Fourth Proportional to 462.69, 638.55 and 315.41

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Solution

The fourth proportional to 462.69, 638.55 and 315.41 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 638.55 = 315.41 : x
  2. Step 2: Convert to fraction form
    462.69/638.55 = 315.41/x
  3. Step 3: Cross multiply
    462.69x = 638.55 × 315.41
  4. Step 4: Simplify right side
    462.69x = 201,401.86
  5. Step 5: Solve for x
    x = 201,401.86/462.69
  6. Step 6: Final answer
    x = 435.28

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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.