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Finding the Fourth Proportional to 564.36, 845.73 and 409.92

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Solution

The fourth proportional to 564.36, 845.73 and 409.92 is: 614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 845.73 = 409.92 : x
  2. Step 2: Convert to fraction form
    564.36/845.73 = 409.92/x
  3. Step 3: Cross multiply
    564.36x = 845.73 × 409.92
  4. Step 4: Simplify right side
    564.36x = 346,681.64
  5. Step 5: Solve for x
    x = 346,681.64/564.36
  6. Step 6: Final answer
    x = 614.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.