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Finding the Fourth Proportional to 409.77, 564.93 and 299.25

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Solution

The fourth proportional to 409.77, 564.93 and 299.25 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.77 : 564.93 = 299.25 : x
  2. Step 2: Convert to fraction form
    409.77/564.93 = 299.25/x
  3. Step 3: Cross multiply
    409.77x = 564.93 × 299.25
  4. Step 4: Simplify right side
    409.77x = 169,055.30
  5. Step 5: Solve for x
    x = 169,055.30/409.77
  6. Step 6: Final answer
    x = 412.56

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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.