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Finding the Fourth Proportional to 618.24, 852.32 and 452.24

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Solution

The fourth proportional to 618.24, 852.32 and 452.24 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 852.32 = 452.24 : x
  2. Step 2: Convert to fraction form
    618.24/852.32 = 452.24/x
  3. Step 3: Cross multiply
    618.24x = 852.32 × 452.24
  4. Step 4: Simplify right side
    618.24x = 385,453.20
  5. Step 5: Solve for x
    x = 385,453.20/618.24
  6. Step 6: Final answer
    x = 623.47

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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.