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Finding the Fourth Proportional to 621.96, 932.02 and 415.82

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Solution

The fourth proportional to 621.96, 932.02 and 415.82 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.96 : 932.02 = 415.82 : x
  2. Step 2: Convert to fraction form
    621.96/932.02 = 415.82/x
  3. Step 3: Cross multiply
    621.96x = 932.02 × 415.82
  4. Step 4: Simplify right side
    621.96x = 387,552.56
  5. Step 5: Solve for x
    x = 387,552.56/621.96
  6. Step 6: Final answer
    x = 623.11

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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.