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Finding the Fourth Proportional to 307.72, 458.75 and 278.56

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Solution

The fourth proportional to 307.72, 458.75 and 278.56 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 458.75 = 278.56 : x
  2. Step 2: Convert to fraction form
    307.72/458.75 = 278.56/x
  3. Step 3: Cross multiply
    307.72x = 458.75 × 278.56
  4. Step 4: Simplify right side
    307.72x = 127,789.40
  5. Step 5: Solve for x
    x = 127,789.40/307.72
  6. Step 6: Final answer
    x = 415.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.