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Finding the Fourth Proportional to 422.16, 579.14 and 410.78

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Solution

The fourth proportional to 422.16, 579.14 and 410.78 is: 563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 579.14 = 410.78 : x
  2. Step 2: Convert to fraction form
    422.16/579.14 = 410.78/x
  3. Step 3: Cross multiply
    422.16x = 579.14 × 410.78
  4. Step 4: Simplify right side
    422.16x = 237,899.13
  5. Step 5: Solve for x
    x = 237,899.13/422.16
  6. Step 6: Final answer
    x = 563.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.