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Finding the Fourth Proportional to 661.27, 912.25 and 465.05

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Solution

The fourth proportional to 661.27, 912.25 and 465.05 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.27 : 912.25 = 465.05 : x
  2. Step 2: Convert to fraction form
    661.27/912.25 = 465.05/x
  3. Step 3: Cross multiply
    661.27x = 912.25 × 465.05
  4. Step 4: Simplify right side
    661.27x = 424,241.86
  5. Step 5: Solve for x
    x = 424,241.86/661.27
  6. Step 6: Final answer
    x = 641.56

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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.