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Finding the Fourth Proportional to 420.40, 578.46 and 379

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Solution

The fourth proportional to 420.40, 578.46 and 379 is: 521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.40 : 578.46 = 379 : x
  2. Step 2: Convert to fraction form
    420.40/578.46 = 379/x
  3. Step 3: Cross multiply
    420.40x = 578.46 × 379
  4. Step 4: Simplify right side
    420.40x = 219,236.34
  5. Step 5: Solve for x
    x = 219,236.34/420.40
  6. Step 6: Final answer
    x = 521.49

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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.