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Finding the Fourth Proportional to 618.57, 926.55 and 293.61

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Solution

The fourth proportional to 618.57, 926.55 and 293.61 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 926.55 = 293.61 : x
  2. Step 2: Convert to fraction form
    618.57/926.55 = 293.61/x
  3. Step 3: Cross multiply
    618.57x = 926.55 × 293.61
  4. Step 4: Simplify right side
    618.57x = 272,044.35
  5. Step 5: Solve for x
    x = 272,044.35/618.57
  6. Step 6: Final answer
    x = 439.80

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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.