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Finding the Fourth Proportional to 618.13, 926.43 and 292.82

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Solution

The fourth proportional to 618.13, 926.43 and 292.82 is: 438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.13 : 926.43 = 292.82 : x
  2. Step 2: Convert to fraction form
    618.13/926.43 = 292.82/x
  3. Step 3: Cross multiply
    618.13x = 926.43 × 292.82
  4. Step 4: Simplify right side
    618.13x = 271,277.23
  5. Step 5: Solve for x
    x = 271,277.23/618.13
  6. Step 6: Final answer
    x = 438.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.