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Finding the Fourth Proportional to 618.78, 928.43 and 310.47

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Solution

The fourth proportional to 618.78, 928.43 and 310.47 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 928.43 = 310.47 : x
  2. Step 2: Convert to fraction form
    618.78/928.43 = 310.47/x
  3. Step 3: Cross multiply
    618.78x = 928.43 × 310.47
  4. Step 4: Simplify right side
    618.78x = 288,250.36
  5. Step 5: Solve for x
    x = 288,250.36/618.78
  6. Step 6: Final answer
    x = 465.84

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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.