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Finding the Fourth Proportional to 307.20, 460.86 and 266.52

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Solution

The fourth proportional to 307.20, 460.86 and 266.52 is: 399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 460.86 = 266.52 : x
  2. Step 2: Convert to fraction form
    307.20/460.86 = 266.52/x
  3. Step 3: Cross multiply
    307.20x = 460.86 × 266.52
  4. Step 4: Simplify right side
    307.20x = 122,828.41
  5. Step 5: Solve for x
    x = 122,828.41/307.20
  6. Step 6: Final answer
    x = 399.83

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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.