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Finding the Fourth Proportional to 618.84, 928.14 and 310.61

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Solution

The fourth proportional to 618.84, 928.14 and 310.61 is: 465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.84 : 928.14 = 310.61 : x
  2. Step 2: Convert to fraction form
    618.84/928.14 = 310.61/x
  3. Step 3: Cross multiply
    618.84x = 928.14 × 310.61
  4. Step 4: Simplify right side
    618.84x = 288,289.57
  5. Step 5: Solve for x
    x = 288,289.57/618.84
  6. Step 6: Final answer
    x = 465.85

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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.