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Finding the Fourth Proportional to 434.82, 653.25 and 410.22

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Solution

The fourth proportional to 434.82, 653.25 and 410.22 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.82 : 653.25 = 410.22 : x
  2. Step 2: Convert to fraction form
    434.82/653.25 = 410.22/x
  3. Step 3: Cross multiply
    434.82x = 653.25 × 410.22
  4. Step 4: Simplify right side
    434.82x = 267,976.22
  5. Step 5: Solve for x
    x = 267,976.22/434.82
  6. Step 6: Final answer
    x = 616.29

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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.