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Finding the Fourth Proportional to 471.99, 706.73 and 380.19

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Solution

The fourth proportional to 471.99, 706.73 and 380.19 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.99 : 706.73 = 380.19 : x
  2. Step 2: Convert to fraction form
    471.99/706.73 = 380.19/x
  3. Step 3: Cross multiply
    471.99x = 706.73 × 380.19
  4. Step 4: Simplify right side
    471.99x = 268,689.78
  5. Step 5: Solve for x
    x = 268,689.78/471.99
  6. Step 6: Final answer
    x = 569.27

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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.