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Finding the Fourth Proportional to 409.17, 564.74 and 251.89

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Solution

The fourth proportional to 409.17, 564.74 and 251.89 is: 347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.17 : 564.74 = 251.89 : x
  2. Step 2: Convert to fraction form
    409.17/564.74 = 251.89/x
  3. Step 3: Cross multiply
    409.17x = 564.74 × 251.89
  4. Step 4: Simplify right side
    409.17x = 142,250.63
  5. Step 5: Solve for x
    x = 142,250.63/409.17
  6. Step 6: Final answer
    x = 347.65

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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.