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Finding the Fourth Proportional to 419.03, 627.35 and 281.80

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Solution

The fourth proportional to 419.03, 627.35 and 281.80 is: 421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.03 : 627.35 = 281.80 : x
  2. Step 2: Convert to fraction form
    419.03/627.35 = 281.80/x
  3. Step 3: Cross multiply
    419.03x = 627.35 × 281.80
  4. Step 4: Simplify right side
    419.03x = 176,786.61
  5. Step 5: Solve for x
    x = 176,786.61/419.03
  6. Step 6: Final answer
    x = 421.90

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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.