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Finding the Fourth Proportional to 470.22, 705.72 and 333.72

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Solution

The fourth proportional to 470.22, 705.72 and 333.72 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 705.72 = 333.72 : x
  2. Step 2: Convert to fraction form
    470.22/705.72 = 333.72/x
  3. Step 3: Cross multiply
    470.22x = 705.72 × 333.72
  4. Step 4: Simplify right side
    470.22x = 235,512.88
  5. Step 5: Solve for x
    x = 235,512.88/470.22
  6. Step 6: Final answer
    x = 500.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.