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Finding the Fourth Proportional to 418.33, 627.69 and 297.58

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Solution

The fourth proportional to 418.33, 627.69 and 297.58 is: 446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.33 : 627.69 = 297.58 : x
  2. Step 2: Convert to fraction form
    418.33/627.69 = 297.58/x
  3. Step 3: Cross multiply
    418.33x = 627.69 × 297.58
  4. Step 4: Simplify right side
    418.33x = 186,787.99
  5. Step 5: Solve for x
    x = 186,787.99/418.33
  6. Step 6: Final answer
    x = 446.51

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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.