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Finding the Fourth Proportional to 630.83, 945.23 and 414.15

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Solution

The fourth proportional to 630.83, 945.23 and 414.15 is: 620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.83 : 945.23 = 414.15 : x
  2. Step 2: Convert to fraction form
    630.83/945.23 = 414.15/x
  3. Step 3: Cross multiply
    630.83x = 945.23 × 414.15
  4. Step 4: Simplify right side
    630.83x = 391,464.93
  5. Step 5: Solve for x
    x = 391,464.93/630.83
  6. Step 6: Final answer
    x = 620.56

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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.