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Finding the Fourth Proportional to 618.66, 852.28 and 431.82

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Solution

The fourth proportional to 618.66, 852.28 and 431.82 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.66 : 852.28 = 431.82 : x
  2. Step 2: Convert to fraction form
    618.66/852.28 = 431.82/x
  3. Step 3: Cross multiply
    618.66x = 852.28 × 431.82
  4. Step 4: Simplify right side
    618.66x = 368,031.55
  5. Step 5: Solve for x
    x = 368,031.55/618.66
  6. Step 6: Final answer
    x = 594.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.