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Finding the Fourth Proportional to 588.25, 811.58 and 378.41

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Solution

The fourth proportional to 588.25, 811.58 and 378.41 is: 522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 811.58 = 378.41 : x
  2. Step 2: Convert to fraction form
    588.25/811.58 = 378.41/x
  3. Step 3: Cross multiply
    588.25x = 811.58 × 378.41
  4. Step 4: Simplify right side
    588.25x = 307,109.99
  5. Step 5: Solve for x
    x = 307,109.99/588.25
  6. Step 6: Final answer
    x = 522.07

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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.