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Finding the Fourth Proportional to 471.26, 705.97 and 362.51

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Solution

The fourth proportional to 471.26, 705.97 and 362.51 is: 543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.26 : 705.97 = 362.51 : x
  2. Step 2: Convert to fraction form
    471.26/705.97 = 362.51/x
  3. Step 3: Cross multiply
    471.26x = 705.97 × 362.51
  4. Step 4: Simplify right side
    471.26x = 255,919.37
  5. Step 5: Solve for x
    x = 255,919.37/471.26
  6. Step 6: Final answer
    x = 543.06

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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.