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Finding the Fourth Proportional to 352.06, 528.18 and 313.80

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Solution

The fourth proportional to 352.06, 528.18 and 313.80 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.06 : 528.18 = 313.80 : x
  2. Step 2: Convert to fraction form
    352.06/528.18 = 313.80/x
  3. Step 3: Cross multiply
    352.06x = 528.18 × 313.80
  4. Step 4: Simplify right side
    352.06x = 165,742.88
  5. Step 5: Solve for x
    x = 165,742.88/352.06
  6. Step 6: Final answer
    x = 470.78

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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.