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Finding the Fourth Proportional to 307.24, 460.94 and 253.02

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Solution

The fourth proportional to 307.24, 460.94 and 253.02 is: 379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 460.94 = 253.02 : x
  2. Step 2: Convert to fraction form
    307.24/460.94 = 253.02/x
  3. Step 3: Cross multiply
    307.24x = 460.94 × 253.02
  4. Step 4: Simplify right side
    307.24x = 116,628.93
  5. Step 5: Solve for x
    x = 116,628.93/307.24
  6. Step 6: Final answer
    x = 379.60

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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.