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Finding the Fourth Proportional to 964.07, 1,446.05 and 270.84

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Solution

The fourth proportional to 964.07, 1,446.05 and 270.84 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.07 : 1,446.05 = 270.84 : x
  2. Step 2: Convert to fraction form
    964.07/1,446.05 = 270.84/x
  3. Step 3: Cross multiply
    964.07x = 1,446.05 × 270.84
  4. Step 4: Simplify right side
    964.07x = 391,654.28
  5. Step 5: Solve for x
    x = 391,654.28/964.07
  6. Step 6: Final answer
    x = 406.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.