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Finding the Fourth Proportional to 462.90, 639.32 and 315.27

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Solution

The fourth proportional to 462.90, 639.32 and 315.27 is: 435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 639.32 = 315.27 : x
  2. Step 2: Convert to fraction form
    462.90/639.32 = 315.27/x
  3. Step 3: Cross multiply
    462.90x = 639.32 × 315.27
  4. Step 4: Simplify right side
    462.90x = 201,560.01
  5. Step 5: Solve for x
    x = 201,560.01/462.90
  6. Step 6: Final answer
    x = 435.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.