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Finding the Fourth Proportional to 409.68, 616.91 and 302.22

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Solution

The fourth proportional to 409.68, 616.91 and 302.22 is: 455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 616.91 = 302.22 : x
  2. Step 2: Convert to fraction form
    409.68/616.91 = 302.22/x
  3. Step 3: Cross multiply
    409.68x = 616.91 × 302.22
  4. Step 4: Simplify right side
    409.68x = 186,441.03
  5. Step 5: Solve for x
    x = 186,441.03/409.68
  6. Step 6: Final answer
    x = 455.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.