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Finding the Fourth Proportional to 964.31, 1,446.28 and 470.22

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Solution

The fourth proportional to 964.31, 1,446.28 and 470.22 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.31 : 1,446.28 = 470.22 : x
  2. Step 2: Convert to fraction form
    964.31/1,446.28 = 470.22/x
  3. Step 3: Cross multiply
    964.31x = 1,446.28 × 470.22
  4. Step 4: Simplify right side
    964.31x = 680,073.08
  5. Step 5: Solve for x
    x = 680,073.08/964.31
  6. Step 6: Final answer
    x = 705.24

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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.