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Finding the Fourth Proportional to 909.97, 1,364.96 and 361.86

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Solution

The fourth proportional to 909.97, 1,364.96 and 361.86 is: 542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.97 : 1,364.96 = 361.86 : x
  2. Step 2: Convert to fraction form
    909.97/1,364.96 = 361.86/x
  3. Step 3: Cross multiply
    909.97x = 1,364.96 × 361.86
  4. Step 4: Simplify right side
    909.97x = 493,924.43
  5. Step 5: Solve for x
    x = 493,924.43/909.97
  6. Step 6: Final answer
    x = 542.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.