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Finding the Fourth Proportional to 618.78, 928.80 and 414.77

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Solution

The fourth proportional to 618.78, 928.80 and 414.77 is: 622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 928.80 = 414.77 : x
  2. Step 2: Convert to fraction form
    618.78/928.80 = 414.77/x
  3. Step 3: Cross multiply
    618.78x = 928.80 × 414.77
  4. Step 4: Simplify right side
    618.78x = 385,238.38
  5. Step 5: Solve for x
    x = 385,238.38/618.78
  6. Step 6: Final answer
    x = 622.58

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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.