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Finding the Fourth Proportional to 554.75, 765.11 and 414.03

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Solution

The fourth proportional to 554.75, 765.11 and 414.03 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.75 : 765.11 = 414.03 : x
  2. Step 2: Convert to fraction form
    554.75/765.11 = 414.03/x
  3. Step 3: Cross multiply
    554.75x = 765.11 × 414.03
  4. Step 4: Simplify right side
    554.75x = 316,781.44
  5. Step 5: Solve for x
    x = 316,781.44/554.75
  6. Step 6: Final answer
    x = 571.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.