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Finding the Fourth Proportional to 301.64, 415.26 and 260.76

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Solution

The fourth proportional to 301.64, 415.26 and 260.76 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 415.26 = 260.76 : x
  2. Step 2: Convert to fraction form
    301.64/415.26 = 260.76/x
  3. Step 3: Cross multiply
    301.64x = 415.26 × 260.76
  4. Step 4: Simplify right side
    301.64x = 108,283.20
  5. Step 5: Solve for x
    x = 108,283.20/301.64
  6. Step 6: Final answer
    x = 358.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.