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Finding the Fourth Proportional to 419.50, 628.71 and 310.42

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Solution

The fourth proportional to 419.50, 628.71 and 310.42 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 628.71 = 310.42 : x
  2. Step 2: Convert to fraction form
    419.50/628.71 = 310.42/x
  3. Step 3: Cross multiply
    419.50x = 628.71 × 310.42
  4. Step 4: Simplify right side
    419.50x = 195,164.16
  5. Step 5: Solve for x
    x = 195,164.16/419.50
  6. Step 6: Final answer
    x = 465.23

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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.