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Finding the Fourth Proportional to 419.52, 578.88 and 308.88

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Solution

The fourth proportional to 419.52, 578.88 and 308.88 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 578.88 = 308.88 : x
  2. Step 2: Convert to fraction form
    419.52/578.88 = 308.88/x
  3. Step 3: Cross multiply
    419.52x = 578.88 × 308.88
  4. Step 4: Simplify right side
    419.52x = 178,804.45
  5. Step 5: Solve for x
    x = 178,804.45/419.52
  6. Step 6: Final answer
    x = 426.21

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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.