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Finding the Fourth Proportional to 671.76, 926.91 and 438.75

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Solution

The fourth proportional to 671.76, 926.91 and 438.75 is: 605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.76 : 926.91 = 438.75 : x
  2. Step 2: Convert to fraction form
    671.76/926.91 = 438.75/x
  3. Step 3: Cross multiply
    671.76x = 926.91 × 438.75
  4. Step 4: Simplify right side
    671.76x = 406,681.76
  5. Step 5: Solve for x
    x = 406,681.76/671.76
  6. Step 6: Final answer
    x = 605.40

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