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Finding the Fourth Proportional to 419.03, 627.84 and 297.07

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Solution

The fourth proportional to 419.03, 627.84 and 297.07 is: 445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.03 : 627.84 = 297.07 : x
  2. Step 2: Convert to fraction form
    419.03/627.84 = 297.07/x
  3. Step 3: Cross multiply
    419.03x = 627.84 × 297.07
  4. Step 4: Simplify right side
    419.03x = 186,512.43
  5. Step 5: Solve for x
    x = 186,512.43/419.03
  6. Step 6: Final answer
    x = 445.11

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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.