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Finding the Fourth Proportional to 471.29, 705.18 and 334.67

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Solution

The fourth proportional to 471.29, 705.18 and 334.67 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.29 : 705.18 = 334.67 : x
  2. Step 2: Convert to fraction form
    471.29/705.18 = 334.67/x
  3. Step 3: Cross multiply
    471.29x = 705.18 × 334.67
  4. Step 4: Simplify right side
    471.29x = 236,002.59
  5. Step 5: Solve for x
    x = 236,002.59/471.29
  6. Step 6: Final answer
    x = 500.76

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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.