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Finding the Fourth Proportional to 307.61, 460.71 and 220.40

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Solution

The fourth proportional to 307.61, 460.71 and 220.40 is: 330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 460.71 = 220.40 : x
  2. Step 2: Convert to fraction form
    307.61/460.71 = 220.40/x
  3. Step 3: Cross multiply
    307.61x = 460.71 × 220.40
  4. Step 4: Simplify right side
    307.61x = 101,539.38
  5. Step 5: Solve for x
    x = 101,539.38/307.61
  6. Step 6: Final answer
    x = 330.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.