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Finding the Fourth Proportional to 419.96, 628.93 and 338.96

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Solution

The fourth proportional to 419.96, 628.93 and 338.96 is: 507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 628.93 = 338.96 : x
  2. Step 2: Convert to fraction form
    419.96/628.93 = 338.96/x
  3. Step 3: Cross multiply
    419.96x = 628.93 × 338.96
  4. Step 4: Simplify right side
    419.96x = 213,184.11
  5. Step 5: Solve for x
    x = 213,184.11/419.96
  6. Step 6: Final answer
    x = 507.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.