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Finding the Fourth Proportional to 423.94, 585.49 and 378.13

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Solution

The fourth proportional to 423.94, 585.49 and 378.13 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 585.49 = 378.13 : x
  2. Step 2: Convert to fraction form
    423.94/585.49 = 378.13/x
  3. Step 3: Cross multiply
    423.94x = 585.49 × 378.13
  4. Step 4: Simplify right side
    423.94x = 221,391.33
  5. Step 5: Solve for x
    x = 221,391.33/423.94
  6. Step 6: Final answer
    x = 522.22

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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.