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Finding the Fourth Proportional to 705.84, 972.96 and 443.28

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Solution

The fourth proportional to 705.84, 972.96 and 443.28 is: 611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 972.96 = 443.28 : x
  2. Step 2: Convert to fraction form
    705.84/972.96 = 443.28/x
  3. Step 3: Cross multiply
    705.84x = 972.96 × 443.28
  4. Step 4: Simplify right side
    705.84x = 431,293.71
  5. Step 5: Solve for x
    x = 431,293.71/705.84
  6. Step 6: Final answer
    x = 611.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.