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Finding the Fourth Proportional to 301.12, 449.51 and 278.58

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Solution

The fourth proportional to 301.12, 449.51 and 278.58 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 449.51 = 278.58 : x
  2. Step 2: Convert to fraction form
    301.12/449.51 = 278.58/x
  3. Step 3: Cross multiply
    301.12x = 449.51 × 278.58
  4. Step 4: Simplify right side
    301.12x = 125,224.50
  5. Step 5: Solve for x
    x = 125,224.50/301.12
  6. Step 6: Final answer
    x = 415.86

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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.