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Finding the Fourth Proportional to 441.97, 610.16 and 302.29

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Solution

The fourth proportional to 441.97, 610.16 and 302.29 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.97 : 610.16 = 302.29 : x
  2. Step 2: Convert to fraction form
    441.97/610.16 = 302.29/x
  3. Step 3: Cross multiply
    441.97x = 610.16 × 302.29
  4. Step 4: Simplify right side
    441.97x = 184,445.27
  5. Step 5: Solve for x
    x = 184,445.27/441.97
  6. Step 6: Final answer
    x = 417.33

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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.