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Finding the Fourth Proportional to 409.06, 564.61 and 253.94

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Solution

The fourth proportional to 409.06, 564.61 and 253.94 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 564.61 = 253.94 : x
  2. Step 2: Convert to fraction form
    409.06/564.61 = 253.94/x
  3. Step 3: Cross multiply
    409.06x = 564.61 × 253.94
  4. Step 4: Simplify right side
    409.06x = 143,377.06
  5. Step 5: Solve for x
    x = 143,377.06/409.06
  6. Step 6: Final answer
    x = 350.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.