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Finding the Fourth Proportional to 410.86, 566.82 and 263.58

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Solution

The fourth proportional to 410.86, 566.82 and 263.58 is: 363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 566.82 = 263.58 : x
  2. Step 2: Convert to fraction form
    410.86/566.82 = 263.58/x
  3. Step 3: Cross multiply
    410.86x = 566.82 × 263.58
  4. Step 4: Simplify right side
    410.86x = 149,402.42
  5. Step 5: Solve for x
    x = 149,402.42/410.86
  6. Step 6: Final answer
    x = 363.63

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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.