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Finding the Fourth Proportional to 409.84, 610.56 and 385.04

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Solution

The fourth proportional to 409.84, 610.56 and 385.04 is: 573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 610.56 = 385.04 : x
  2. Step 2: Convert to fraction form
    409.84/610.56 = 385.04/x
  3. Step 3: Cross multiply
    409.84x = 610.56 × 385.04
  4. Step 4: Simplify right side
    409.84x = 235,090.02
  5. Step 5: Solve for x
    x = 235,090.02/409.84
  6. Step 6: Final answer
    x = 573.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.