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Finding the Fourth Proportional to 380.08, 524.34 and 222.64

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Solution

The fourth proportional to 380.08, 524.34 and 222.64 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 524.34 = 222.64 : x
  2. Step 2: Convert to fraction form
    380.08/524.34 = 222.64/x
  3. Step 3: Cross multiply
    380.08x = 524.34 × 222.64
  4. Step 4: Simplify right side
    380.08x = 116,739.06
  5. Step 5: Solve for x
    x = 116,739.06/380.08
  6. Step 6: Final answer
    x = 307.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.