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Finding the Fourth Proportional to 964.34, 1,446.48 and 315.03

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Solution

The fourth proportional to 964.34, 1,446.48 and 315.03 is: 472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.34 : 1,446.48 = 315.03 : x
  2. Step 2: Convert to fraction form
    964.34/1,446.48 = 315.03/x
  3. Step 3: Cross multiply
    964.34x = 1,446.48 × 315.03
  4. Step 4: Simplify right side
    964.34x = 455,684.59
  5. Step 5: Solve for x
    x = 455,684.59/964.34
  6. Step 6: Final answer
    x = 472.54

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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.