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Finding the Fourth Proportional to 909.39, 1,364.17 and 361.45

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Solution

The fourth proportional to 909.39, 1,364.17 and 361.45 is: 542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.39 : 1,364.17 = 361.45 : x
  2. Step 2: Convert to fraction form
    909.39/1,364.17 = 361.45/x
  3. Step 3: Cross multiply
    909.39x = 1,364.17 × 361.45
  4. Step 4: Simplify right side
    909.39x = 493,072.37
  5. Step 5: Solve for x
    x = 493,072.37/909.39
  6. Step 6: Final answer
    x = 542.20

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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.