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Finding the Fourth Proportional to 618.10, 852.87 and 355.93

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Solution

The fourth proportional to 618.10, 852.87 and 355.93 is: 491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.10 : 852.87 = 355.93 : x
  2. Step 2: Convert to fraction form
    618.10/852.87 = 355.93/x
  3. Step 3: Cross multiply
    618.10x = 852.87 × 355.93
  4. Step 4: Simplify right side
    618.10x = 303,562.02
  5. Step 5: Solve for x
    x = 303,562.02/618.10
  6. Step 6: Final answer
    x = 491.12

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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.