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Finding the Fourth Proportional to 914.21, 1,371.29 and 393.78

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Solution

The fourth proportional to 914.21, 1,371.29 and 393.78 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.21 : 1,371.29 = 393.78 : x
  2. Step 2: Convert to fraction form
    914.21/1,371.29 = 393.78/x
  3. Step 3: Cross multiply
    914.21x = 1,371.29 × 393.78
  4. Step 4: Simplify right side
    914.21x = 539,984.61
  5. Step 5: Solve for x
    x = 539,984.61/914.21
  6. Step 6: Final answer
    x = 590.66

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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.