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Finding the Fourth Proportional to 471.81, 706.99 and 317.16

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Solution

The fourth proportional to 471.81, 706.99 and 317.16 is: 475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.81 : 706.99 = 317.16 : x
  2. Step 2: Convert to fraction form
    471.81/706.99 = 317.16/x
  3. Step 3: Cross multiply
    471.81x = 706.99 × 317.16
  4. Step 4: Simplify right side
    471.81x = 224,227.70
  5. Step 5: Solve for x
    x = 224,227.70/471.81
  6. Step 6: Final answer
    x = 475.25

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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.