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Finding the Fourth Proportional to 380.96, 569.60 and 323.88

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Solution

The fourth proportional to 380.96, 569.60 and 323.88 is: 484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 569.60 = 323.88 : x
  2. Step 2: Convert to fraction form
    380.96/569.60 = 323.88/x
  3. Step 3: Cross multiply
    380.96x = 569.60 × 323.88
  4. Step 4: Simplify right side
    380.96x = 184,482.05
  5. Step 5: Solve for x
    x = 184,482.05/380.96
  6. Step 6: Final answer
    x = 484.26

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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.