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Finding the Fourth Proportional to 662.98, 914.83 and 410.79

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Solution

The fourth proportional to 662.98, 914.83 and 410.79 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.98 : 914.83 = 410.79 : x
  2. Step 2: Convert to fraction form
    662.98/914.83 = 410.79/x
  3. Step 3: Cross multiply
    662.98x = 914.83 × 410.79
  4. Step 4: Simplify right side
    662.98x = 375,804.68
  5. Step 5: Solve for x
    x = 375,804.68/662.98
  6. Step 6: Final answer
    x = 566.84

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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.