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Finding the Fourth Proportional to 301.52, 451.76 and 260.88

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Solution

The fourth proportional to 301.52, 451.76 and 260.88 is: 390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 451.76 = 260.88 : x
  2. Step 2: Convert to fraction form
    301.52/451.76 = 260.88/x
  3. Step 3: Cross multiply
    301.52x = 451.76 × 260.88
  4. Step 4: Simplify right side
    301.52x = 117,855.15
  5. Step 5: Solve for x
    x = 117,855.15/301.52
  6. Step 6: Final answer
    x = 390.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.