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Finding the Fourth Proportional to 471.44, 706.55 and 380.18

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Solution

The fourth proportional to 471.44, 706.55 and 380.18 is: 569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.44 : 706.55 = 380.18 : x
  2. Step 2: Convert to fraction form
    471.44/706.55 = 380.18/x
  3. Step 3: Cross multiply
    471.44x = 706.55 × 380.18
  4. Step 4: Simplify right side
    471.44x = 268,610.75
  5. Step 5: Solve for x
    x = 268,610.75/471.44
  6. Step 6: Final answer
    x = 569.77

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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.