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Finding the Fourth Proportional to 909.74, 1,365.24 and 361.87

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Solution

The fourth proportional to 909.74, 1,365.24 and 361.87 is: 543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.74 : 1,365.24 = 361.87 : x
  2. Step 2: Convert to fraction form
    909.74/1,365.24 = 361.87/x
  3. Step 3: Cross multiply
    909.74x = 1,365.24 × 361.87
  4. Step 4: Simplify right side
    909.74x = 494,039.40
  5. Step 5: Solve for x
    x = 494,039.40/909.74
  6. Step 6: Final answer
    x = 543.06

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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.