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Finding the Fourth Proportional to 485.14, 668.71 and 410.62

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Solution

The fourth proportional to 485.14, 668.71 and 410.62 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.14 : 668.71 = 410.62 : x
  2. Step 2: Convert to fraction form
    485.14/668.71 = 410.62/x
  3. Step 3: Cross multiply
    485.14x = 668.71 × 410.62
  4. Step 4: Simplify right side
    485.14x = 274,583.49
  5. Step 5: Solve for x
    x = 274,583.49/485.14
  6. Step 6: Final answer
    x = 565.99

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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.