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Finding the Fourth Proportional to 661.63, 913.01 and 362.83

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Solution

The fourth proportional to 661.63, 913.01 and 362.83 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.63 : 913.01 = 362.83 : x
  2. Step 2: Convert to fraction form
    661.63/913.01 = 362.83/x
  3. Step 3: Cross multiply
    661.63x = 913.01 × 362.83
  4. Step 4: Simplify right side
    661.63x = 331,265.60
  5. Step 5: Solve for x
    x = 331,265.60/661.63
  6. Step 6: Final answer
    x = 500.68

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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.