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Finding the Fourth Proportional to 661.67, 913.07 and 362.90

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Solution

The fourth proportional to 661.67, 913.07 and 362.90 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.67 : 913.07 = 362.90 : x
  2. Step 2: Convert to fraction form
    661.67/913.07 = 362.90/x
  3. Step 3: Cross multiply
    661.67x = 913.07 × 362.90
  4. Step 4: Simplify right side
    661.67x = 331,346.72
  5. Step 5: Solve for x
    x = 331,346.72/661.67
  6. Step 6: Final answer
    x = 500.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.