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Finding the Fourth Proportional to 618.40, 852.42 and 452.62

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Solution

The fourth proportional to 618.40, 852.42 and 452.62 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 852.42 = 452.62 : x
  2. Step 2: Convert to fraction form
    618.40/852.42 = 452.62/x
  3. Step 3: Cross multiply
    618.40x = 852.42 × 452.62
  4. Step 4: Simplify right side
    618.40x = 385,822.34
  5. Step 5: Solve for x
    x = 385,822.34/618.40
  6. Step 6: Final answer
    x = 623.90

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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.