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Finding the Fourth Proportional to 964.37, 1,446.74 and 387.29

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Solution

The fourth proportional to 964.37, 1,446.74 and 387.29 is: 581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.37 : 1,446.74 = 387.29 : x
  2. Step 2: Convert to fraction form
    964.37/1,446.74 = 387.29/x
  3. Step 3: Cross multiply
    964.37x = 1,446.74 × 387.29
  4. Step 4: Simplify right side
    964.37x = 560,298.76
  5. Step 5: Solve for x
    x = 560,298.76/964.37
  6. Step 6: Final answer
    x = 581.00

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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.