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Finding the Fourth Proportional to 471.08, 705.96 and 210.74

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Solution

The fourth proportional to 471.08, 705.96 and 210.74 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.08 : 705.96 = 210.74 : x
  2. Step 2: Convert to fraction form
    471.08/705.96 = 210.74/x
  3. Step 3: Cross multiply
    471.08x = 705.96 × 210.74
  4. Step 4: Simplify right side
    471.08x = 148,774.01
  5. Step 5: Solve for x
    x = 148,774.01/471.08
  6. Step 6: Final answer
    x = 315.81

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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.