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Finding the Fourth Proportional to 618.57, 852.12 and 421.74

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Solution

The fourth proportional to 618.57, 852.12 and 421.74 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 852.12 = 421.74 : x
  2. Step 2: Convert to fraction form
    618.57/852.12 = 421.74/x
  3. Step 3: Cross multiply
    618.57x = 852.12 × 421.74
  4. Step 4: Simplify right side
    618.57x = 359,373.09
  5. Step 5: Solve for x
    x = 359,373.09/618.57
  6. Step 6: Final answer
    x = 580.97

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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.