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Finding the Fourth Proportional to 964.24, 1,446.23 and 415.97

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Solution

The fourth proportional to 964.24, 1,446.23 and 415.97 is: 623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.24 : 1,446.23 = 415.97 : x
  2. Step 2: Convert to fraction form
    964.24/1,446.23 = 415.97/x
  3. Step 3: Cross multiply
    964.24x = 1,446.23 × 415.97
  4. Step 4: Simplify right side
    964.24x = 601,582.10
  5. Step 5: Solve for x
    x = 601,582.10/964.24
  6. Step 6: Final answer
    x = 623.89

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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.