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Finding the Fourth Proportional to 618.08, 852.48 and 580.28

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Solution

The fourth proportional to 618.08, 852.48 and 580.28 is: 800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.08 : 852.48 = 580.28 : x
  2. Step 2: Convert to fraction form
    618.08/852.48 = 580.28/x
  3. Step 3: Cross multiply
    618.08x = 852.48 × 580.28
  4. Step 4: Simplify right side
    618.08x = 494,677.09
  5. Step 5: Solve for x
    x = 494,677.09/618.08
  6. Step 6: Final answer
    x = 800.34

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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.