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Finding the Fourth Proportional to 419.52, 578.98 and 244.88

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Solution

The fourth proportional to 419.52, 578.98 and 244.88 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 578.98 = 244.88 : x
  2. Step 2: Convert to fraction form
    419.52/578.98 = 244.88/x
  3. Step 3: Cross multiply
    419.52x = 578.98 × 244.88
  4. Step 4: Simplify right side
    419.52x = 141,780.62
  5. Step 5: Solve for x
    x = 141,780.62/419.52
  6. Step 6: Final answer
    x = 337.96

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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.