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Finding the Fourth Proportional to 410.96, 567.28 and 263.60

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Solution

The fourth proportional to 410.96, 567.28 and 263.60 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 567.28 = 263.60 : x
  2. Step 2: Convert to fraction form
    410.96/567.28 = 263.60/x
  3. Step 3: Cross multiply
    410.96x = 567.28 × 263.60
  4. Step 4: Simplify right side
    410.96x = 149,535.01
  5. Step 5: Solve for x
    x = 149,535.01/410.96
  6. Step 6: Final answer
    x = 363.87

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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.