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Finding the Fourth Proportional to 661.69, 913.17 and 451.90

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Solution

The fourth proportional to 661.69, 913.17 and 451.90 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.69 : 913.17 = 451.90 : x
  2. Step 2: Convert to fraction form
    661.69/913.17 = 451.90/x
  3. Step 3: Cross multiply
    661.69x = 913.17 × 451.90
  4. Step 4: Simplify right side
    661.69x = 412,661.52
  5. Step 5: Solve for x
    x = 412,661.52/661.69
  6. Step 6: Final answer
    x = 623.65

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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.