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Finding the Fourth Proportional to 661.66, 913.05 and 362.86

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Solution

The fourth proportional to 661.66, 913.05 and 362.86 is: 500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.66 : 913.05 = 362.86 : x
  2. Step 2: Convert to fraction form
    661.66/913.05 = 362.86/x
  3. Step 3: Cross multiply
    661.66x = 913.05 × 362.86
  4. Step 4: Simplify right side
    661.66x = 331,310.70
  5. Step 5: Solve for x
    x = 331,310.70/661.66
  6. Step 6: Final answer
    x = 500.72

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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.