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Finding the Fourth Proportional to 620.11, 929.93 and 414.62

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Solution

The fourth proportional to 620.11, 929.93 and 414.62 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.11 : 929.93 = 414.62 : x
  2. Step 2: Convert to fraction form
    620.11/929.93 = 414.62/x
  3. Step 3: Cross multiply
    620.11x = 929.93 × 414.62
  4. Step 4: Simplify right side
    620.11x = 385,566.67
  5. Step 5: Solve for x
    x = 385,566.67/620.11
  6. Step 6: Final answer
    x = 621.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.