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Finding the Fourth Proportional to 409.24, 564.54 and 253.72

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Solution

The fourth proportional to 409.24, 564.54 and 253.72 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 564.54 = 253.72 : x
  2. Step 2: Convert to fraction form
    409.24/564.54 = 253.72/x
  3. Step 3: Cross multiply
    409.24x = 564.54 × 253.72
  4. Step 4: Simplify right side
    409.24x = 143,235.09
  5. Step 5: Solve for x
    x = 143,235.09/409.24
  6. Step 6: Final answer
    x = 350.00

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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.