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Finding the Fourth Proportional to 618.36, 928.26 and 475.08

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Solution

The fourth proportional to 618.36, 928.26 and 475.08 is: 713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.36 : 928.26 = 475.08 : x
  2. Step 2: Convert to fraction form
    618.36/928.26 = 475.08/x
  3. Step 3: Cross multiply
    618.36x = 928.26 × 475.08
  4. Step 4: Simplify right side
    618.36x = 440,997.76
  5. Step 5: Solve for x
    x = 440,997.76/618.36
  6. Step 6: Final answer
    x = 713.17

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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.