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Finding the Fourth Proportional to 409.89, 569.53 and 405.61

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Solution

The fourth proportional to 409.89, 569.53 and 405.61 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 569.53 = 405.61 : x
  2. Step 2: Convert to fraction form
    409.89/569.53 = 405.61/x
  3. Step 3: Cross multiply
    409.89x = 569.53 × 405.61
  4. Step 4: Simplify right side
    409.89x = 231,007.06
  5. Step 5: Solve for x
    x = 231,007.06/409.89
  6. Step 6: Final answer
    x = 563.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.