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Finding the Fourth Proportional to 462.92, 638.53 and 315.80

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Solution

The fourth proportional to 462.92, 638.53 and 315.80 is: 435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 638.53 = 315.80 : x
  2. Step 2: Convert to fraction form
    462.92/638.53 = 315.80/x
  3. Step 3: Cross multiply
    462.92x = 638.53 × 315.80
  4. Step 4: Simplify right side
    462.92x = 201,647.96
  5. Step 5: Solve for x
    x = 201,647.96/462.92
  6. Step 6: Final answer
    x = 435.60

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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.