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Finding the Fourth Proportional to 610.82, 916.49 and 302.68

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Solution

The fourth proportional to 610.82, 916.49 and 302.68 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.82 : 916.49 = 302.68 : x
  2. Step 2: Convert to fraction form
    610.82/916.49 = 302.68/x
  3. Step 3: Cross multiply
    610.82x = 916.49 × 302.68
  4. Step 4: Simplify right side
    610.82x = 277,401.66
  5. Step 5: Solve for x
    x = 277,401.66/610.82
  6. Step 6: Final answer
    x = 454.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.