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Finding the Fourth Proportional to 671.44, 924.12 and 588.76

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Solution

The fourth proportional to 671.44, 924.12 and 588.76 is: 810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 924.12 = 588.76 : x
  2. Step 2: Convert to fraction form
    671.44/924.12 = 588.76/x
  3. Step 3: Cross multiply
    671.44x = 924.12 × 588.76
  4. Step 4: Simplify right side
    671.44x = 544,084.89
  5. Step 5: Solve for x
    x = 544,084.89/671.44
  6. Step 6: Final answer
    x = 810.33

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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.