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Finding the Fourth Proportional to 409.12, 564.24 and 253.60

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Solution

The fourth proportional to 409.12, 564.24 and 253.60 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 564.24 = 253.60 : x
  2. Step 2: Convert to fraction form
    409.12/564.24 = 253.60/x
  3. Step 3: Cross multiply
    409.12x = 564.24 × 253.60
  4. Step 4: Simplify right side
    409.12x = 143,091.26
  5. Step 5: Solve for x
    x = 143,091.26/409.12
  6. Step 6: Final answer
    x = 349.75

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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.