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Finding the Fourth Proportional to 671.25, 926.55 and 444.14

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Solution

The fourth proportional to 671.25, 926.55 and 444.14 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.25 : 926.55 = 444.14 : x
  2. Step 2: Convert to fraction form
    671.25/926.55 = 444.14/x
  3. Step 3: Cross multiply
    671.25x = 926.55 × 444.14
  4. Step 4: Simplify right side
    671.25x = 411,513.28
  5. Step 5: Solve for x
    x = 411,513.28/671.25
  6. Step 6: Final answer
    x = 613.06

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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.