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Finding the Fourth Proportional to 618.16, 852.96 and 385.60

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Solution

The fourth proportional to 618.16, 852.96 and 385.60 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 852.96 = 385.60 : x
  2. Step 2: Convert to fraction form
    618.16/852.96 = 385.60/x
  3. Step 3: Cross multiply
    618.16x = 852.96 × 385.60
  4. Step 4: Simplify right side
    618.16x = 328,901.38
  5. Step 5: Solve for x
    x = 328,901.38/618.16
  6. Step 6: Final answer
    x = 532.07

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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.