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Finding the Fourth Proportional to 307.68, 460.14 and 278.97

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Solution

The fourth proportional to 307.68, 460.14 and 278.97 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 460.14 = 278.97 : x
  2. Step 2: Convert to fraction form
    307.68/460.14 = 278.97/x
  3. Step 3: Cross multiply
    307.68x = 460.14 × 278.97
  4. Step 4: Simplify right side
    307.68x = 128,365.26
  5. Step 5: Solve for x
    x = 128,365.26/307.68
  6. Step 6: Final answer
    x = 417.20

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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.