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Finding the Fourth Proportional to 671.25, 926.49 and 409.49

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Solution

The fourth proportional to 671.25, 926.49 and 409.49 is: 565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.25 : 926.49 = 409.49 : x
  2. Step 2: Convert to fraction form
    671.25/926.49 = 409.49/x
  3. Step 3: Cross multiply
    671.25x = 926.49 × 409.49
  4. Step 4: Simplify right side
    671.25x = 379,381.71
  5. Step 5: Solve for x
    x = 379,381.71/671.25
  6. Step 6: Final answer
    x = 565.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.