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Finding the Fourth Proportional to 654.11, 902.10 and 465.68

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Solution

The fourth proportional to 654.11, 902.10 and 465.68 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.11 : 902.10 = 465.68 : x
  2. Step 2: Convert to fraction form
    654.11/902.10 = 465.68/x
  3. Step 3: Cross multiply
    654.11x = 902.10 × 465.68
  4. Step 4: Simplify right side
    654.11x = 420,085.42
  5. Step 5: Solve for x
    x = 420,085.42/654.11
  6. Step 6: Final answer
    x = 642.23

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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.