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Finding the Fourth Proportional to 463.87, 638.44 and 370.31

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Solution

The fourth proportional to 463.87, 638.44 and 370.31 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 638.44 = 370.31 : x
  2. Step 2: Convert to fraction form
    463.87/638.44 = 370.31/x
  3. Step 3: Cross multiply
    463.87x = 638.44 × 370.31
  4. Step 4: Simplify right side
    463.87x = 236,421.39
  5. Step 5: Solve for x
    x = 236,421.39/463.87
  6. Step 6: Final answer
    x = 509.67

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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.