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Finding the Fourth Proportional to 423.70, 634.20 and 410.20

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Solution

The fourth proportional to 423.70, 634.20 and 410.20 is: 613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.70 : 634.20 = 410.20 : x
  2. Step 2: Convert to fraction form
    423.70/634.20 = 410.20/x
  3. Step 3: Cross multiply
    423.70x = 634.20 × 410.20
  4. Step 4: Simplify right side
    423.70x = 260,148.84
  5. Step 5: Solve for x
    x = 260,148.84/423.70
  6. Step 6: Final answer
    x = 613.99

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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.