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Finding the Fourth Proportional to 410.50, 566.34 and 263.22

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Solution

The fourth proportional to 410.50, 566.34 and 263.22 is: 363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.34 = 263.22 : x
  2. Step 2: Convert to fraction form
    410.50/566.34 = 263.22/x
  3. Step 3: Cross multiply
    410.50x = 566.34 × 263.22
  4. Step 4: Simplify right side
    410.50x = 149,072.01
  5. Step 5: Solve for x
    x = 149,072.01/410.50
  6. Step 6: Final answer
    x = 363.15

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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.