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Finding the Fourth Proportional to 964.30, 1,446.04 and 416.20

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Solution

The fourth proportional to 964.30, 1,446.04 and 416.20 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.30 : 1,446.04 = 416.20 : x
  2. Step 2: Convert to fraction form
    964.30/1,446.04 = 416.20/x
  3. Step 3: Cross multiply
    964.30x = 1,446.04 × 416.20
  4. Step 4: Simplify right side
    964.30x = 601,841.85
  5. Step 5: Solve for x
    x = 601,841.85/964.30
  6. Step 6: Final answer
    x = 624.12

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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.