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Finding the Fourth Proportional to 618.35, 852.05 and 477.61

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Solution

The fourth proportional to 618.35, 852.05 and 477.61 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.35 : 852.05 = 477.61 : x
  2. Step 2: Convert to fraction form
    618.35/852.05 = 477.61/x
  3. Step 3: Cross multiply
    618.35x = 852.05 × 477.61
  4. Step 4: Simplify right side
    618.35x = 406,946.66
  5. Step 5: Solve for x
    x = 406,946.66/618.35
  6. Step 6: Final answer
    x = 658.12

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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.