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Finding the Fourth Proportional to 705.16, 1,057.64 and 272.32

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Solution

The fourth proportional to 705.16, 1,057.64 and 272.32 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 1,057.64 = 272.32 : x
  2. Step 2: Convert to fraction form
    705.16/1,057.64 = 272.32/x
  3. Step 3: Cross multiply
    705.16x = 1,057.64 × 272.32
  4. Step 4: Simplify right side
    705.16x = 288,011.24
  5. Step 5: Solve for x
    x = 288,011.24/705.16
  6. Step 6: Final answer
    x = 408.43

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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.