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Finding the Fourth Proportional to 471.06, 705.33 and 383.94

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Solution

The fourth proportional to 471.06, 705.33 and 383.94 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 705.33 = 383.94 : x
  2. Step 2: Convert to fraction form
    471.06/705.33 = 383.94/x
  3. Step 3: Cross multiply
    471.06x = 705.33 × 383.94
  4. Step 4: Simplify right side
    471.06x = 270,804.40
  5. Step 5: Solve for x
    x = 270,804.40/471.06
  6. Step 6: Final answer
    x = 574.88

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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.