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Finding the Fourth Proportional to 661.66, 913.48 and 494.53

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Solution

The fourth proportional to 661.66, 913.48 and 494.53 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.66 : 913.48 = 494.53 : x
  2. Step 2: Convert to fraction form
    661.66/913.48 = 494.53/x
  3. Step 3: Cross multiply
    661.66x = 913.48 × 494.53
  4. Step 4: Simplify right side
    661.66x = 451,740.79
  5. Step 5: Solve for x
    x = 451,740.79/661.66
  6. Step 6: Final answer
    x = 682.74

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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.