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Finding the Fourth Proportional to 744.21, 1,117 and 379.27

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Solution

The fourth proportional to 744.21, 1,117 and 379.27 is: 569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.21 : 1,117 = 379.27 : x
  2. Step 2: Convert to fraction form
    744.21/1,117 = 379.27/x
  3. Step 3: Cross multiply
    744.21x = 1,117 × 379.27
  4. Step 4: Simplify right side
    744.21x = 423,644.59
  5. Step 5: Solve for x
    x = 423,644.59/744.21
  6. Step 6: Final answer
    x = 569.25

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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.