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Finding the Fourth Proportional to 380.28, 567.90 and 307.24

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Solution

The fourth proportional to 380.28, 567.90 and 307.24 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 567.90 = 307.24 : x
  2. Step 2: Convert to fraction form
    380.28/567.90 = 307.24/x
  3. Step 3: Cross multiply
    380.28x = 567.90 × 307.24
  4. Step 4: Simplify right side
    380.28x = 174,481.60
  5. Step 5: Solve for x
    x = 174,481.60/380.28
  6. Step 6: Final answer
    x = 458.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.