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Finding the Fourth Proportional to 671.16, 926.46 and 438.68

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Solution

The fourth proportional to 671.16, 926.46 and 438.68 is: 605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.16 : 926.46 = 438.68 : x
  2. Step 2: Convert to fraction form
    671.16/926.46 = 438.68/x
  3. Step 3: Cross multiply
    671.16x = 926.46 × 438.68
  4. Step 4: Simplify right side
    671.16x = 406,419.47
  5. Step 5: Solve for x
    x = 406,419.47/671.16
  6. Step 6: Final answer
    x = 605.55

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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.