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Finding the Fourth Proportional to 449, 620 and 356.23

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Solution

The fourth proportional to 449, 620 and 356.23 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449 : 620 = 356.23 : x
  2. Step 2: Convert to fraction form
    449/620 = 356.23/x
  3. Step 3: Cross multiply
    449x = 620 × 356.23
  4. Step 4: Simplify right side
    449x = 220,862.60
  5. Step 5: Solve for x
    x = 220,862.60/449
  6. Step 6: Final answer
    x = 491.90

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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.