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Finding the Fourth Proportional to 423.68, 634.08 and 378.12

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Solution

The fourth proportional to 423.68, 634.08 and 378.12 is: 565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 634.08 = 378.12 : x
  2. Step 2: Convert to fraction form
    423.68/634.08 = 378.12/x
  3. Step 3: Cross multiply
    423.68x = 634.08 × 378.12
  4. Step 4: Simplify right side
    423.68x = 239,756.43
  5. Step 5: Solve for x
    x = 239,756.43/423.68
  6. Step 6: Final answer
    x = 565.89

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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.