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Finding the Fourth Proportional to 420.80, 627.75 and 415.33

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Solution

The fourth proportional to 420.80, 627.75 and 415.33 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.80 : 627.75 = 415.33 : x
  2. Step 2: Convert to fraction form
    420.80/627.75 = 415.33/x
  3. Step 3: Cross multiply
    420.80x = 627.75 × 415.33
  4. Step 4: Simplify right side
    420.80x = 260,721.84
  5. Step 5: Solve for x
    x = 260,721.84/420.80
  6. Step 6: Final answer
    x = 619.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.