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Finding the Fourth Proportional to 618.28, 852.85 and 382.16

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Solution

The fourth proportional to 618.28, 852.85 and 382.16 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.28 : 852.85 = 382.16 : x
  2. Step 2: Convert to fraction form
    618.28/852.85 = 382.16/x
  3. Step 3: Cross multiply
    618.28x = 852.85 × 382.16
  4. Step 4: Simplify right side
    618.28x = 325,925.16
  5. Step 5: Solve for x
    x = 325,925.16/618.28
  6. Step 6: Final answer
    x = 527.15

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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.