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Finding the Fourth Proportional to 307.31, 461.16 and 278.69

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Solution

The fourth proportional to 307.31, 461.16 and 278.69 is: 418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.31 : 461.16 = 278.69 : x
  2. Step 2: Convert to fraction form
    307.31/461.16 = 278.69/x
  3. Step 3: Cross multiply
    307.31x = 461.16 × 278.69
  4. Step 4: Simplify right side
    307.31x = 128,518.37
  5. Step 5: Solve for x
    x = 128,518.37/307.31
  6. Step 6: Final answer
    x = 418.21

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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.