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Finding the Fourth Proportional to 557.28, 768.02 and 409.66

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Solution

The fourth proportional to 557.28, 768.02 and 409.66 is: 564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 768.02 = 409.66 : x
  2. Step 2: Convert to fraction form
    557.28/768.02 = 409.66/x
  3. Step 3: Cross multiply
    557.28x = 768.02 × 409.66
  4. Step 4: Simplify right side
    557.28x = 314,623.10
  5. Step 5: Solve for x
    x = 314,623.10/557.28
  6. Step 6: Final answer
    x = 564.57

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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.