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Finding the Fourth Proportional to 662.90, 914.78 and 414.30

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Solution

The fourth proportional to 662.90, 914.78 and 414.30 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.90 : 914.78 = 414.30 : x
  2. Step 2: Convert to fraction form
    662.90/914.78 = 414.30/x
  3. Step 3: Cross multiply
    662.90x = 914.78 × 414.30
  4. Step 4: Simplify right side
    662.90x = 378,993.35
  5. Step 5: Solve for x
    x = 378,993.35/662.90
  6. Step 6: Final answer
    x = 571.72

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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.