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Finding the Fourth Proportional to 410.77, 566.43 and 263.23

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Solution

The fourth proportional to 410.77, 566.43 and 263.23 is: 362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.77 : 566.43 = 263.23 : x
  2. Step 2: Convert to fraction form
    410.77/566.43 = 263.23/x
  3. Step 3: Cross multiply
    410.77x = 566.43 × 263.23
  4. Step 4: Simplify right side
    410.77x = 149,101.37
  5. Step 5: Solve for x
    x = 149,101.37/410.77
  6. Step 6: Final answer
    x = 362.98

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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.