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Finding the Fourth Proportional to 618.48, 852.06 and 431.64

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Solution

The fourth proportional to 618.48, 852.06 and 431.64 is: 594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 852.06 = 431.64 : x
  2. Step 2: Convert to fraction form
    618.48/852.06 = 431.64/x
  3. Step 3: Cross multiply
    618.48x = 852.06 × 431.64
  4. Step 4: Simplify right side
    618.48x = 367,781.56
  5. Step 5: Solve for x
    x = 367,781.56/618.48
  6. Step 6: Final answer
    x = 594.65

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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.